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Finding the Fourth Proportional to 135,286.64, 186,695.78 and 74,859.83

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Solution

The fourth proportional to 135,286.64, 186,695.78 and 74,859.83 is: 103,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,286.64 : 186,695.78 = 74,859.83 : x
  2. Step 2: Convert to fraction form
    135,286.64/186,695.78 = 74,859.83/x
  3. Step 3: Cross multiply
    135,286.64x = 186,695.78 × 74,859.83
  4. Step 4: Simplify right side
    135,286.64x = 13,976,013,044.74
  5. Step 5: Solve for x
    x = 13,976,013,044.74/135,286.64
  6. Step 6: Final answer
    x = 103,306.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.