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Finding the Fourth Proportional to 71,538.78, 98,705.72 and 39,699.70

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Solution

The fourth proportional to 71,538.78, 98,705.72 and 39,699.70 is: 54,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,538.78 : 98,705.72 = 39,699.70 : x
  2. Step 2: Convert to fraction form
    71,538.78/98,705.72 = 39,699.70/x
  3. Step 3: Cross multiply
    71,538.78x = 98,705.72 × 39,699.70
  4. Step 4: Simplify right side
    71,538.78x = 3,918,587,472.28
  5. Step 5: Solve for x
    x = 3,918,587,472.28/71,538.78
  6. Step 6: Final answer
    x = 54,775.71

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1.5x scale

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.