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Finding the Fourth Proportional to 71,275.20, 106,912.80 and 29,716.80

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Solution

The fourth proportional to 71,275.20, 106,912.80 and 29,716.80 is: 44,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,275.20 : 106,912.80 = 29,716.80 : x
  2. Step 2: Convert to fraction form
    71,275.20/106,912.80 = 29,716.80/x
  3. Step 3: Cross multiply
    71,275.20x = 106,912.80 × 29,716.80
  4. Step 4: Simplify right side
    71,275.20x = 3,177,106,295.04
  5. Step 5: Solve for x
    x = 3,177,106,295.04/71,275.20
  6. Step 6: Final answer
    x = 44,575.20

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1.5x scale

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.