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Finding the Fourth Proportional to 138,908.92, 208,059.90 and 85,438.12

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Solution

The fourth proportional to 138,908.92, 208,059.90 and 85,438.12 is: 127,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,908.92 : 208,059.90 = 85,438.12 : x
  2. Step 2: Convert to fraction form
    138,908.92/208,059.90 = 85,438.12/x
  3. Step 3: Cross multiply
    138,908.92x = 208,059.90 × 85,438.12
  4. Step 4: Simplify right side
    138,908.92x = 17,776,246,703.39
  5. Step 5: Solve for x
    x = 17,776,246,703.39/138,908.92
  6. Step 6: Final answer
    x = 127,970.52

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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.