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Finding the Fourth Proportional to 83,778.76, 125,498.40 and 38,736.10

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Solution

The fourth proportional to 83,778.76, 125,498.40 and 38,736.10 is: 58,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778.76 : 125,498.40 = 38,736.10 : x
  2. Step 2: Convert to fraction form
    83,778.76/125,498.40 = 38,736.10/x
  3. Step 3: Cross multiply
    83,778.76x = 125,498.40 × 38,736.10
  4. Step 4: Simplify right side
    83,778.76x = 4,861,318,572.24
  5. Step 5: Solve for x
    x = 4,861,318,572.24/83,778.76
  6. Step 6: Final answer
    x = 58,025.67

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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.