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Finding the Fourth Proportional to 136,957.70, 205,458.63 and 42,187.87

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Solution

The fourth proportional to 136,957.70, 205,458.63 and 42,187.87 is: 63,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,957.70 : 205,458.63 = 42,187.87 : x
  2. Step 2: Convert to fraction form
    136,957.70/205,458.63 = 42,187.87/x
  3. Step 3: Cross multiply
    136,957.70x = 205,458.63 × 42,187.87
  4. Step 4: Simplify right side
    136,957.70x = 8,667,861,972.82
  5. Step 5: Solve for x
    x = 8,667,861,972.82/136,957.70
  6. Step 6: Final answer
    x = 63,288.61

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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.