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Finding the Fourth Proportional to 83,840.40, 125,760.60 and 31,287.60

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Solution

The fourth proportional to 83,840.40, 125,760.60 and 31,287.60 is: 46,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,840.40 : 125,760.60 = 31,287.60 : x
  2. Step 2: Convert to fraction form
    83,840.40/125,760.60 = 31,287.60/x
  3. Step 3: Cross multiply
    83,840.40x = 125,760.60 × 31,287.60
  4. Step 4: Simplify right side
    83,840.40x = 3,934,747,348.56
  5. Step 5: Solve for x
    x = 3,934,747,348.56/83,840.40
  6. Step 6: Final answer
    x = 46,931.40

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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.