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Finding the Fourth Proportional to 126,502.10, 189,826.05 and 47,672.90

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Solution

The fourth proportional to 126,502.10, 189,826.05 and 47,672.90 is: 71,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,502.10 : 189,826.05 = 47,672.90 : x
  2. Step 2: Convert to fraction form
    126,502.10/189,826.05 = 47,672.90/x
  3. Step 3: Cross multiply
    126,502.10x = 189,826.05 × 47,672.90
  4. Step 4: Simplify right side
    126,502.10x = 9,049,558,299.05
  5. Step 5: Solve for x
    x = 9,049,558,299.05/126,502.10
  6. Step 6: Final answer
    x = 71,536.82

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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.