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Finding the Fourth Proportional to 138,859.98, 208,149.72 and 54,679.23

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Solution

The fourth proportional to 138,859.98, 208,149.72 and 54,679.23 is: 81,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,859.98 : 208,149.72 = 54,679.23 : x
  2. Step 2: Convert to fraction form
    138,859.98/208,149.72 = 54,679.23/x
  3. Step 3: Cross multiply
    138,859.98x = 208,149.72 × 54,679.23
  4. Step 4: Simplify right side
    138,859.98x = 11,381,466,414.32
  5. Step 5: Solve for x
    x = 11,381,466,414.32/138,859.98
  6. Step 6: Final answer
    x = 81,963.62

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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.