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Finding the Fourth Proportional to 137,400, 206,129.40 and 42,628.14

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Solution

The fourth proportional to 137,400, 206,129.40 and 42,628.14 is: 63,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,400 : 206,129.40 = 42,628.14 : x
  2. Step 2: Convert to fraction form
    137,400/206,129.40 = 42,628.14/x
  3. Step 3: Cross multiply
    137,400x = 206,129.40 × 42,628.14
  4. Step 4: Simplify right side
    137,400x = 8,786,912,921.32
  5. Step 5: Solve for x
    x = 8,786,912,921.32/137,400
  6. Step 6: Final answer
    x = 63,951.33

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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.