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Finding the Fourth Proportional to 71,957.96, 107,929.20 and 19,372.76

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Solution

The fourth proportional to 71,957.96, 107,929.20 and 19,372.76 is: 29,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,957.96 : 107,929.20 = 19,372.76 : x
  2. Step 2: Convert to fraction form
    71,957.96/107,929.20 = 19,372.76/x
  3. Step 3: Cross multiply
    71,957.96x = 107,929.20 × 19,372.76
  4. Step 4: Simplify right side
    71,957.96x = 2,090,886,488.59
  5. Step 5: Solve for x
    x = 2,090,886,488.59/71,957.96
  6. Step 6: Final answer
    x = 29,057.06

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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.