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Finding the Fourth Proportional to 138,108.94, 206,151.17 and 127,965.70

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Solution

The fourth proportional to 138,108.94, 206,151.17 and 127,965.70 is: 191,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,108.94 : 206,151.17 = 127,965.70 : x
  2. Step 2: Convert to fraction form
    138,108.94/206,151.17 = 127,965.70/x
  3. Step 3: Cross multiply
    138,108.94x = 206,151.17 × 127,965.70
  4. Step 4: Simplify right side
    138,108.94x = 26,380,277,744.11
  5. Step 5: Solve for x
    x = 26,380,277,744.11/138,108.94
  6. Step 6: Final answer
    x = 191,010.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.