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Finding the Fourth Proportional to 125,213.18, 187,819.77 and 75,861.50

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Solution

The fourth proportional to 125,213.18, 187,819.77 and 75,861.50 is: 113,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,213.18 : 187,819.77 = 75,861.50 : x
  2. Step 2: Convert to fraction form
    125,213.18/187,819.77 = 75,861.50/x
  3. Step 3: Cross multiply
    125,213.18x = 187,819.77 × 75,861.50
  4. Step 4: Simplify right side
    125,213.18x = 14,248,289,481.86
  5. Step 5: Solve for x
    x = 14,248,289,481.86/125,213.18
  6. Step 6: Final answer
    x = 113,792.25

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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.