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Finding the Fourth Proportional to 126,279.90, 189,412.41 and 47,387.46

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Solution

The fourth proportional to 126,279.90, 189,412.41 and 47,387.46 is: 71,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,279.90 : 189,412.41 = 47,387.46 : x
  2. Step 2: Convert to fraction form
    126,279.90/189,412.41 = 47,387.46/x
  3. Step 3: Cross multiply
    126,279.90x = 189,412.41 × 47,387.46
  4. Step 4: Simplify right side
    126,279.90x = 8,975,773,002.38
  5. Step 5: Solve for x
    x = 8,975,773,002.38/126,279.90
  6. Step 6: Final answer
    x = 71,078.40

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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.