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Finding the Fourth Proportional to 71,251.74, 106,817.25 and 31,240.40

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Solution

The fourth proportional to 71,251.74, 106,817.25 and 31,240.40 is: 46,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,251.74 : 106,817.25 = 31,240.40 : x
  2. Step 2: Convert to fraction form
    71,251.74/106,817.25 = 31,240.40/x
  3. Step 3: Cross multiply
    71,251.74x = 106,817.25 × 31,240.40
  4. Step 4: Simplify right side
    71,251.74x = 3,337,014,142.80
  5. Step 5: Solve for x
    x = 3,337,014,142.80/71,251.74
  6. Step 6: Final answer
    x = 46,834.14

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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.