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Finding the Fourth Proportional to 138,814.56, 208,261.20 and 55,766.88

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Solution

The fourth proportional to 138,814.56, 208,261.20 and 55,766.88 is: 83,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,814.56 : 208,261.20 = 55,766.88 : x
  2. Step 2: Convert to fraction form
    138,814.56/208,261.20 = 55,766.88/x
  3. Step 3: Cross multiply
    138,814.56x = 208,261.20 × 55,766.88
  4. Step 4: Simplify right side
    138,814.56x = 11,614,077,349.06
  5. Step 5: Solve for x
    x = 11,614,077,349.06/138,814.56
  6. Step 6: Final answer
    x = 83,666.13

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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.