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Finding the Fourth Proportional to 219,677.52, 329,545.80 and 77,489.40

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Solution

The fourth proportional to 219,677.52, 329,545.80 and 77,489.40 is: 116,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,677.52 : 329,545.80 = 77,489.40 : x
  2. Step 2: Convert to fraction form
    219,677.52/329,545.80 = 77,489.40/x
  3. Step 3: Cross multiply
    219,677.52x = 329,545.80 × 77,489.40
  4. Step 4: Simplify right side
    219,677.52x = 25,536,306,314.52
  5. Step 5: Solve for x
    x = 25,536,306,314.52/219,677.52
  6. Step 6: Final answer
    x = 116,244.51

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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.