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Finding the Fourth Proportional to 48,311.64, 72,398.88 and 20,201.40

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Solution

The fourth proportional to 48,311.64, 72,398.88 and 20,201.40 is: 30,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,311.64 : 72,398.88 = 20,201.40 : x
  2. Step 2: Convert to fraction form
    48,311.64/72,398.88 = 20,201.40/x
  3. Step 3: Cross multiply
    48,311.64x = 72,398.88 × 20,201.40
  4. Step 4: Simplify right side
    48,311.64x = 1,462,558,734.43
  5. Step 5: Solve for x
    x = 1,462,558,734.43/48,311.64
  6. Step 6: Final answer
    x = 30,273.42

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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.