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Finding the Fourth Proportional to 48,375.10, 72,575.79 and 20,280.40

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Solution

The fourth proportional to 48,375.10, 72,575.79 and 20,280.40 is: 30,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,375.10 : 72,575.79 = 20,280.40 : x
  2. Step 2: Convert to fraction form
    48,375.10/72,575.79 = 20,280.40/x
  3. Step 3: Cross multiply
    48,375.10x = 72,575.79 × 20,280.40
  4. Step 4: Simplify right side
    48,375.10x = 1,471,866,051.52
  5. Step 5: Solve for x
    x = 1,471,866,051.52/48,375.10
  6. Step 6: Final answer
    x = 30,426.11

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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.