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Finding the Fourth Proportional to 219,493.38, 329,088.78 and 86,388.92

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Solution

The fourth proportional to 219,493.38, 329,088.78 and 86,388.92 is: 129,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,493.38 : 329,088.78 = 86,388.92 : x
  2. Step 2: Convert to fraction form
    219,493.38/329,088.78 = 86,388.92/x
  3. Step 3: Cross multiply
    219,493.38x = 329,088.78 × 86,388.92
  4. Step 4: Simplify right side
    219,493.38x = 28,429,624,288.32
  5. Step 5: Solve for x
    x = 28,429,624,288.32/219,493.38
  6. Step 6: Final answer
    x = 129,523.83

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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.