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Finding the Fourth Proportional to 125,212.68, 187,819.02 and 75,861

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Solution

The fourth proportional to 125,212.68, 187,819.02 and 75,861 is: 113,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,212.68 : 187,819.02 = 75,861 : x
  2. Step 2: Convert to fraction form
    125,212.68/187,819.02 = 75,861/x
  3. Step 3: Cross multiply
    125,212.68x = 187,819.02 × 75,861
  4. Step 4: Simplify right side
    125,212.68x = 14,248,138,676.22
  5. Step 5: Solve for x
    x = 14,248,138,676.22/125,212.68
  6. Step 6: Final answer
    x = 113,791.50

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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.