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Finding the Fourth Proportional to 71,530.17, 98,713.25 and 39,701.11

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Solution

The fourth proportional to 71,530.17, 98,713.25 and 39,701.11 is: 54,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530.17 : 98,713.25 = 39,701.11 : x
  2. Step 2: Convert to fraction form
    71,530.17/98,713.25 = 39,701.11/x
  3. Step 3: Cross multiply
    71,530.17x = 98,713.25 × 39,701.11
  4. Step 4: Simplify right side
    71,530.17x = 3,919,025,596.71
  5. Step 5: Solve for x
    x = 3,919,025,596.71/71,530.17
  6. Step 6: Final answer
    x = 54,788.43

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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.