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Finding the Fourth Proportional to 219,805.39, 329,635.79 and 77,624.87

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Solution

The fourth proportional to 219,805.39, 329,635.79 and 77,624.87 is: 116,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,805.39 : 329,635.79 = 77,624.87 : x
  2. Step 2: Convert to fraction form
    219,805.39/329,635.79 = 77,624.87/x
  3. Step 3: Cross multiply
    219,805.39x = 329,635.79 × 77,624.87
  4. Step 4: Simplify right side
    219,805.39x = 25,587,935,782.06
  5. Step 5: Solve for x
    x = 25,587,935,782.06/219,805.39
  6. Step 6: Final answer
    x = 116,411.78

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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.