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Finding the Fourth Proportional to 138,707.31, 208,099.85 and 55,659.63

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Solution

The fourth proportional to 138,707.31, 208,099.85 and 55,659.63 is: 83,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,707.31 : 208,099.85 = 55,659.63 : x
  2. Step 2: Convert to fraction form
    138,707.31/208,099.85 = 55,659.63/x
  3. Step 3: Cross multiply
    138,707.31x = 208,099.85 × 55,659.63
  4. Step 4: Simplify right side
    138,707.31x = 11,582,760,375.76
  5. Step 5: Solve for x
    x = 11,582,760,375.76/138,707.31
  6. Step 6: Final answer
    x = 83,505.05

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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.