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Finding the Fourth Proportional to 137,752.11, 206,343.86 and 127,786.68

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Solution

The fourth proportional to 137,752.11, 206,343.86 and 127,786.68 is: 191,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,752.11 : 206,343.86 = 127,786.68 : x
  2. Step 2: Convert to fraction form
    137,752.11/206,343.86 = 127,786.68/x
  3. Step 3: Cross multiply
    137,752.11x = 206,343.86 × 127,786.68
  4. Step 4: Simplify right side
    137,752.11x = 26,367,996,168.85
  5. Step 5: Solve for x
    x = 26,367,996,168.85/137,752.11
  6. Step 6: Final answer
    x = 191,416.28

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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.