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Finding the Fourth Proportional to 68,781.71, 103,187.42 and 21,395.90

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Solution

The fourth proportional to 68,781.71, 103,187.42 and 21,395.90 is: 32,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,781.71 : 103,187.42 = 21,395.90 : x
  2. Step 2: Convert to fraction form
    68,781.71/103,187.42 = 21,395.90/x
  3. Step 3: Cross multiply
    68,781.71x = 103,187.42 × 21,395.90
  4. Step 4: Simplify right side
    68,781.71x = 2,207,788,031.04
  5. Step 5: Solve for x
    x = 2,207,788,031.04/68,781.71
  6. Step 6: Final answer
    x = 32,098.47

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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.