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Finding the Fourth Proportional to 85,052.96, 127,496.16 and 31,705.88

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Solution

The fourth proportional to 85,052.96, 127,496.16 and 31,705.88 is: 47,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,052.96 : 127,496.16 = 31,705.88 : x
  2. Step 2: Convert to fraction form
    85,052.96/127,496.16 = 31,705.88/x
  3. Step 3: Cross multiply
    85,052.96x = 127,496.16 × 31,705.88
  4. Step 4: Simplify right side
    85,052.96x = 4,042,377,949.42
  5. Step 5: Solve for x
    x = 4,042,377,949.42/85,052.96
  6. Step 6: Final answer
    x = 47,527.78

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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.