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Finding the Fourth Proportional to 135,540, 187,044.84 and 75,110.76

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Solution

The fourth proportional to 135,540, 187,044.84 and 75,110.76 is: 103,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,540 : 187,044.84 = 75,110.76 : x
  2. Step 2: Convert to fraction form
    135,540/187,044.84 = 75,110.76/x
  3. Step 3: Cross multiply
    135,540x = 187,044.84 × 75,110.76
  4. Step 4: Simplify right side
    135,540x = 14,049,080,086.48
  5. Step 5: Solve for x
    x = 14,049,080,086.48/135,540
  6. Step 6: Final answer
    x = 103,652.65

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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.