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Finding the Fourth Proportional to 239,290.68, 330,221.16 and 138,747

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Solution

The fourth proportional to 239,290.68, 330,221.16 and 138,747 is: 191,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,290.68 : 330,221.16 = 138,747 : x
  2. Step 2: Convert to fraction form
    239,290.68/330,221.16 = 138,747/x
  3. Step 3: Cross multiply
    239,290.68x = 330,221.16 × 138,747
  4. Step 4: Simplify right side
    239,290.68x = 45,817,195,286.52
  5. Step 5: Solve for x
    x = 45,817,195,286.52/239,290.68
  6. Step 6: Final answer
    x = 191,470.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.