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Finding the Fourth Proportional to 126,178.88, 189,240.80 and 47,248.96

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Solution

The fourth proportional to 126,178.88, 189,240.80 and 47,248.96 is: 70,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,178.88 : 189,240.80 = 47,248.96 : x
  2. Step 2: Convert to fraction form
    126,178.88/189,240.80 = 47,248.96/x
  3. Step 3: Cross multiply
    126,178.88x = 189,240.80 × 47,248.96
  4. Step 4: Simplify right side
    126,178.88x = 8,941,430,989.57
  5. Step 5: Solve for x
    x = 8,941,430,989.57/126,178.88
  6. Step 6: Final answer
    x = 70,863.13

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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.