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Finding the Fourth Proportional to 83,849.60, 125,768.64 and 31,234.88

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Solution

The fourth proportional to 83,849.60, 125,768.64 and 31,234.88 is: 46,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,849.60 : 125,768.64 = 31,234.88 : x
  2. Step 2: Convert to fraction form
    83,849.60/125,768.64 = 31,234.88/x
  3. Step 3: Cross multiply
    83,849.60x = 125,768.64 × 31,234.88
  4. Step 4: Simplify right side
    83,849.60x = 3,928,368,378.16
  5. Step 5: Solve for x
    x = 3,928,368,378.16/83,849.60
  6. Step 6: Final answer
    x = 46,850.17

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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.