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Finding the Fourth Proportional to 71,731.71, 107,593.83 and 21,810.69

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Solution

The fourth proportional to 71,731.71, 107,593.83 and 21,810.69 is: 32,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,731.71 : 107,593.83 = 21,810.69 : x
  2. Step 2: Convert to fraction form
    71,731.71/107,593.83 = 21,810.69/x
  3. Step 3: Cross multiply
    71,731.71x = 107,593.83 × 21,810.69
  4. Step 4: Simplify right side
    71,731.71x = 2,346,695,672.04
  5. Step 5: Solve for x
    x = 2,346,695,672.04/71,731.71
  6. Step 6: Final answer
    x = 32,714.90

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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.