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Finding the Fourth Proportional to 138,706.56, 208,098.72 and 55,658.88

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Solution

The fourth proportional to 138,706.56, 208,098.72 and 55,658.88 is: 83,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.56 : 208,098.72 = 55,658.88 : x
  2. Step 2: Convert to fraction form
    138,706.56/208,098.72 = 55,658.88/x
  3. Step 3: Cross multiply
    138,706.56x = 208,098.72 × 55,658.88
  4. Step 4: Simplify right side
    138,706.56x = 11,582,541,684.63
  5. Step 5: Solve for x
    x = 11,582,541,684.63/138,706.56
  6. Step 6: Final answer
    x = 83,503.92

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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.