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Finding the Fourth Proportional to 138,812.56, 208,257.72 and 55,764.88

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Solution

The fourth proportional to 138,812.56, 208,257.72 and 55,764.88 is: 83,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,812.56 : 208,257.72 = 55,764.88 : x
  2. Step 2: Convert to fraction form
    138,812.56/208,257.72 = 55,764.88/x
  3. Step 3: Cross multiply
    138,812.56x = 208,257.72 × 55,764.88
  4. Step 4: Simplify right side
    138,812.56x = 11,613,466,764.87
  5. Step 5: Solve for x
    x = 11,613,466,764.87/138,812.56
  6. Step 6: Final answer
    x = 83,662.94

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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.