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Finding the Fourth Proportional to 126,540.74, 189,772.76 and 66,536.88

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Solution

The fourth proportional to 126,540.74, 189,772.76 and 66,536.88 is: 99,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,540.74 : 189,772.76 = 66,536.88 : x
  2. Step 2: Convert to fraction form
    126,540.74/189,772.76 = 66,536.88/x
  3. Step 3: Cross multiply
    126,540.74x = 189,772.76 × 66,536.88
  4. Step 4: Simplify right side
    126,540.74x = 12,626,887,359.39
  5. Step 5: Solve for x
    x = 12,626,887,359.39/126,540.74
  6. Step 6: Final answer
    x = 99,785.16

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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.