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Finding the Fourth Proportional to 114,998.20, 172,505.40 and 65,102.20

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Solution

The fourth proportional to 114,998.20, 172,505.40 and 65,102.20 is: 97,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,998.20 : 172,505.40 = 65,102.20 : x
  2. Step 2: Convert to fraction form
    114,998.20/172,505.40 = 65,102.20/x
  3. Step 3: Cross multiply
    114,998.20x = 172,505.40 × 65,102.20
  4. Step 4: Simplify right side
    114,998.20x = 11,230,481,051.88
  5. Step 5: Solve for x
    x = 11,230,481,051.88/114,998.20
  6. Step 6: Final answer
    x = 97,657.89

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1.5x scale

Why These Related Problems?

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