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Finding the Fourth Proportional to 71,641.20, 107,461.80 and 49,522.80

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Solution

The fourth proportional to 71,641.20, 107,461.80 and 49,522.80 is: 74,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,641.20 : 107,461.80 = 49,522.80 : x
  2. Step 2: Convert to fraction form
    71,641.20/107,461.80 = 49,522.80/x
  3. Step 3: Cross multiply
    71,641.20x = 107,461.80 × 49,522.80
  4. Step 4: Simplify right side
    71,641.20x = 5,321,809,229.04
  5. Step 5: Solve for x
    x = 5,321,809,229.04/71,641.20
  6. Step 6: Final answer
    x = 74,284.20

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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.