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Finding the Fourth Proportional to 85,351.28, 127,931.45 and 31,991.90

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Solution

The fourth proportional to 85,351.28, 127,931.45 and 31,991.90 is: 47,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,351.28 : 127,931.45 = 31,991.90 : x
  2. Step 2: Convert to fraction form
    85,351.28/127,931.45 = 31,991.90/x
  3. Step 3: Cross multiply
    85,351.28x = 127,931.45 × 31,991.90
  4. Step 4: Simplify right side
    85,351.28x = 4,092,769,355.64
  5. Step 5: Solve for x
    x = 4,092,769,355.64/85,351.28
  6. Step 6: Final answer
    x = 47,952.06

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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.