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Finding the Fourth Proportional to 114,820,160,920.10, 172,230,241,380.15 and 114,820,160,920.10

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Solution

The fourth proportional to 114,820,160,920.10, 172,230,241,380.15 and 114,820,160,920.10 is: 172,230,241,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,820,160,920.10 : 172,230,241,380.15 = 114,820,160,920.10 : x
  2. Step 2: Convert to fraction form
    114,820,160,920.10/172,230,241,380.15 = 114,820,160,920.10/x
  3. Step 3: Cross multiply
    114,820,160,920.10x = 172,230,241,380.15 × 114,820,160,920.10
  4. Step 4: Simplify right side
    114,820,160,920.10x = 19,775,504,030,576,490,315,776
  5. Step 5: Solve for x
    x = 19,775,504,030,576,490,315,776/114,820,160,920.10
  6. Step 6: Final answer
    x = 172,230,241,380.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.