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Finding the Fourth Proportional to 71,680.50, 98,921.62 and 39,417.58

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Solution

The fourth proportional to 71,680.50, 98,921.62 and 39,417.58 is: 54,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,680.50 : 98,921.62 = 39,417.58 : x
  2. Step 2: Convert to fraction form
    71,680.50/98,921.62 = 39,417.58/x
  3. Step 3: Cross multiply
    71,680.50x = 98,921.62 × 39,417.58
  4. Step 4: Simplify right side
    71,680.50x = 3,899,250,672.05
  5. Step 5: Solve for x
    x = 3,899,250,672.05/71,680.50
  6. Step 6: Final answer
    x = 54,397.65

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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.