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Finding the Fourth Proportional to 126,700.56, 189,672.21 and 76,629.20

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Solution

The fourth proportional to 126,700.56, 189,672.21 and 76,629.20 is: 114,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,700.56 : 189,672.21 = 76,629.20 : x
  2. Step 2: Convert to fraction form
    126,700.56/189,672.21 = 76,629.20/x
  3. Step 3: Cross multiply
    126,700.56x = 189,672.21 × 76,629.20
  4. Step 4: Simplify right side
    126,700.56x = 14,534,428,766.17
  5. Step 5: Solve for x
    x = 14,534,428,766.17/126,700.56
  6. Step 6: Final answer
    x = 114,714.79

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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.