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Finding the Fourth Proportional to 125,667, 188,534.52 and 42,561

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Solution

The fourth proportional to 125,667, 188,534.52 and 42,561 is: 63,853.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,667 : 188,534.52 = 42,561 : x
  2. Step 2: Convert to fraction form
    125,667/188,534.52 = 42,561/x
  3. Step 3: Cross multiply
    125,667x = 188,534.52 × 42,561
  4. Step 4: Simplify right side
    125,667x = 8,024,217,705.72
  5. Step 5: Solve for x
    x = 8,024,217,705.72/125,667
  6. Step 6: Final answer
    x = 63,853.02

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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.