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Finding the Fourth Proportional to 96,720.38, 133,487.16 and 54,281.24

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Solution

The fourth proportional to 96,720.38, 133,487.16 and 54,281.24 is: 74,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,720.38 : 133,487.16 = 54,281.24 : x
  2. Step 2: Convert to fraction form
    96,720.38/133,487.16 = 54,281.24/x
  3. Step 3: Cross multiply
    96,720.38x = 133,487.16 × 54,281.24
  4. Step 4: Simplify right side
    96,720.38x = 7,245,848,568.88
  5. Step 5: Solve for x
    x = 7,245,848,568.88/96,720.38
  6. Step 6: Final answer
    x = 74,915.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.