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Finding the Fourth Proportional to 136,747.60, 205,121.40 and 38,251.60

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Solution

The fourth proportional to 136,747.60, 205,121.40 and 38,251.60 is: 57,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,747.60 : 205,121.40 = 38,251.60 : x
  2. Step 2: Convert to fraction form
    136,747.60/205,121.40 = 38,251.60/x
  3. Step 3: Cross multiply
    136,747.60x = 205,121.40 × 38,251.60
  4. Step 4: Simplify right side
    136,747.60x = 7,846,221,744.24
  5. Step 5: Solve for x
    x = 7,846,221,744.24/136,747.60
  6. Step 6: Final answer
    x = 57,377.40

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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.