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Finding the Fourth Proportional to 138,735.52, 208,134 and 76,373.92

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Solution

The fourth proportional to 138,735.52, 208,134 and 76,373.92 is: 114,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,735.52 : 208,134 = 76,373.92 : x
  2. Step 2: Convert to fraction form
    138,735.52/208,134 = 76,373.92/x
  3. Step 3: Cross multiply
    138,735.52x = 208,134 × 76,373.92
  4. Step 4: Simplify right side
    138,735.52x = 15,896,009,465.28
  5. Step 5: Solve for x
    x = 15,896,009,465.28/138,735.52
  6. Step 6: Final answer
    x = 114,577.79

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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.