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Finding the Fourth Proportional to 126,043.70, 189,138.45 and 47,165.90

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Solution

The fourth proportional to 126,043.70, 189,138.45 and 47,165.90 is: 70,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,043.70 : 189,138.45 = 47,165.90 : x
  2. Step 2: Convert to fraction form
    126,043.70/189,138.45 = 47,165.90/x
  3. Step 3: Cross multiply
    126,043.70x = 189,138.45 × 47,165.90
  4. Step 4: Simplify right side
    126,043.70x = 8,920,885,218.86
  5. Step 5: Solve for x
    x = 8,920,885,218.86/126,043.70
  6. Step 6: Final answer
    x = 70,776.13

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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.