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Finding the Fourth Proportional to 105,024, 157,536 and 102,380.16

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Solution

The fourth proportional to 105,024, 157,536 and 102,380.16 is: 153,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,024 : 157,536 = 102,380.16 : x
  2. Step 2: Convert to fraction form
    105,024/157,536 = 102,380.16/x
  3. Step 3: Cross multiply
    105,024x = 157,536 × 102,380.16
  4. Step 4: Simplify right side
    105,024x = 16,128,560,885.76
  5. Step 5: Solve for x
    x = 16,128,560,885.76/105,024
  6. Step 6: Final answer
    x = 153,570.24

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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.