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Finding the Fourth Proportional to 83,912.40, 125,870.28 and 31,311.39

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Solution

The fourth proportional to 83,912.40, 125,870.28 and 31,311.39 is: 46,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,912.40 : 125,870.28 = 31,311.39 : x
  2. Step 2: Convert to fraction form
    83,912.40/125,870.28 = 31,311.39/x
  3. Step 3: Cross multiply
    83,912.40x = 125,870.28 × 31,311.39
  4. Step 4: Simplify right side
    83,912.40x = 3,941,173,426.49
  5. Step 5: Solve for x
    x = 3,941,173,426.49/83,912.40
  6. Step 6: Final answer
    x = 46,967.71

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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.