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Finding the Fourth Proportional to 71,643.20, 107,464.80 and 49,524.80

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Solution

The fourth proportional to 71,643.20, 107,464.80 and 49,524.80 is: 74,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,643.20 : 107,464.80 = 49,524.80 : x
  2. Step 2: Convert to fraction form
    71,643.20/107,464.80 = 49,524.80/x
  3. Step 3: Cross multiply
    71,643.20x = 107,464.80 × 49,524.80
  4. Step 4: Simplify right side
    71,643.20x = 5,322,172,727.04
  5. Step 5: Solve for x
    x = 5,322,172,727.04/71,643.20
  6. Step 6: Final answer
    x = 74,287.20

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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.