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Finding the Fourth Proportional to 125,209.44, 187,821 and 31,716

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Solution

The fourth proportional to 125,209.44, 187,821 and 31,716 is: 47,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,209.44 : 187,821 = 31,716 : x
  2. Step 2: Convert to fraction form
    125,209.44/187,821 = 31,716/x
  3. Step 3: Cross multiply
    125,209.44x = 187,821 × 31,716
  4. Step 4: Simplify right side
    125,209.44x = 5,956,930,836
  5. Step 5: Solve for x
    x = 5,956,930,836/125,209.44
  6. Step 6: Final answer
    x = 47,575.73

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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.