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Finding the Fourth Proportional to 138,255.40, 206,864.70 and 125,813.80

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Solution

The fourth proportional to 138,255.40, 206,864.70 and 125,813.80 is: 188,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,255.40 : 206,864.70 = 125,813.80 : x
  2. Step 2: Convert to fraction form
    138,255.40/206,864.70 = 125,813.80/x
  3. Step 3: Cross multiply
    138,255.40x = 206,864.70 × 125,813.80
  4. Step 4: Simplify right side
    138,255.40x = 26,026,433,992.86
  5. Step 5: Solve for x
    x = 26,026,433,992.86/138,255.40
  6. Step 6: Final answer
    x = 188,248.95

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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.