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Finding the Fourth Proportional to 138,058.49, 207,198.84 and 78,123.62

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Solution

The fourth proportional to 138,058.49, 207,198.84 and 78,123.62 is: 117,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,058.49 : 207,198.84 = 78,123.62 : x
  2. Step 2: Convert to fraction form
    138,058.49/207,198.84 = 78,123.62/x
  3. Step 3: Cross multiply
    138,058.49x = 207,198.84 × 78,123.62
  4. Step 4: Simplify right side
    138,058.49x = 16,187,124,251.56
  5. Step 5: Solve for x
    x = 16,187,124,251.56/138,058.49
  6. Step 6: Final answer
    x = 117,248.31

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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.