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Finding the Fourth Proportional to 54,919.20, 82,378.80 and 15,475.80

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Solution

The fourth proportional to 54,919.20, 82,378.80 and 15,475.80 is: 23,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,919.20 : 82,378.80 = 15,475.80 : x
  2. Step 2: Convert to fraction form
    54,919.20/82,378.80 = 15,475.80/x
  3. Step 3: Cross multiply
    54,919.20x = 82,378.80 × 15,475.80
  4. Step 4: Simplify right side
    54,919.20x = 1,274,877,833.04
  5. Step 5: Solve for x
    x = 1,274,877,833.04/54,919.20
  6. Step 6: Final answer
    x = 23,213.70

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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.