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Finding the Fourth Proportional to 83,850.60, 125,770.14 and 31,235.88

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Solution

The fourth proportional to 83,850.60, 125,770.14 and 31,235.88 is: 46,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,850.60 : 125,770.14 = 31,235.88 : x
  2. Step 2: Convert to fraction form
    83,850.60/125,770.14 = 31,235.88/x
  3. Step 3: Cross multiply
    83,850.60x = 125,770.14 × 31,235.88
  4. Step 4: Simplify right side
    83,850.60x = 3,928,541,000.62
  5. Step 5: Solve for x
    x = 3,928,541,000.62/83,850.60
  6. Step 6: Final answer
    x = 46,851.67

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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.