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Finding the Fourth Proportional to 71,488.70, 107,233.82 and 21,569.24

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Solution

The fourth proportional to 71,488.70, 107,233.82 and 21,569.24 is: 32,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,488.70 : 107,233.82 = 21,569.24 : x
  2. Step 2: Convert to fraction form
    71,488.70/107,233.82 = 21,569.24/x
  3. Step 3: Cross multiply
    71,488.70x = 107,233.82 × 21,569.24
  4. Step 4: Simplify right side
    71,488.70x = 2,312,951,999.70
  5. Step 5: Solve for x
    x = 2,312,951,999.70/71,488.70
  6. Step 6: Final answer
    x = 32,354.09

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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.