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Finding the Fourth Proportional to 85,337.75, 127,911.25 and 31,978.40

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Solution

The fourth proportional to 85,337.75, 127,911.25 and 31,978.40 is: 47,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,337.75 : 127,911.25 = 31,978.40 : x
  2. Step 2: Convert to fraction form
    85,337.75/127,911.25 = 31,978.40/x
  3. Step 3: Cross multiply
    85,337.75x = 127,911.25 × 31,978.40
  4. Step 4: Simplify right side
    85,337.75x = 4,090,396,517.42
  5. Step 5: Solve for x
    x = 4,090,396,517.42/85,337.75
  6. Step 6: Final answer
    x = 47,931.85

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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.