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Finding the Fourth Proportional to 48,382.68, 72,540 and 18,775.56

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Solution

The fourth proportional to 48,382.68, 72,540 and 18,775.56 is: 28,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,382.68 : 72,540 = 18,775.56 : x
  2. Step 2: Convert to fraction form
    48,382.68/72,540 = 18,775.56/x
  3. Step 3: Cross multiply
    48,382.68x = 72,540 × 18,775.56
  4. Step 4: Simplify right side
    48,382.68x = 1,361,979,122.40
  5. Step 5: Solve for x
    x = 1,361,979,122.40/48,382.68
  6. Step 6: Final answer
    x = 28,150.14

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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.