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Finding the Fourth Proportional to 71,376.40, 106,834.20 and 65,846.80

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Solution

The fourth proportional to 71,376.40, 106,834.20 and 65,846.80 is: 98,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376.40 : 106,834.20 = 65,846.80 : x
  2. Step 2: Convert to fraction form
    71,376.40/106,834.20 = 65,846.80/x
  3. Step 3: Cross multiply
    71,376.40x = 106,834.20 × 65,846.80
  4. Step 4: Simplify right side
    71,376.40x = 7,034,690,200.56
  5. Step 5: Solve for x
    x = 7,034,690,200.56/71,376.40
  6. Step 6: Final answer
    x = 98,557.65

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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.