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Finding the Fourth Proportional to 83,762.40, 125,629.20 and 31,144.80

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Solution

The fourth proportional to 83,762.40, 125,629.20 and 31,144.80 is: 46,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,762.40 : 125,629.20 = 31,144.80 : x
  2. Step 2: Convert to fraction form
    83,762.40/125,629.20 = 31,144.80/x
  3. Step 3: Cross multiply
    83,762.40x = 125,629.20 × 31,144.80
  4. Step 4: Simplify right side
    83,762.40x = 3,912,696,308.16
  5. Step 5: Solve for x
    x = 3,912,696,308.16/83,762.40
  6. Step 6: Final answer
    x = 46,711.85

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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.