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Finding the Fourth Proportional to 48,257.32, 72,327.66 and 20,497

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Solution

The fourth proportional to 48,257.32, 72,327.66 and 20,497 is: 30,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,257.32 : 72,327.66 = 20,497 : x
  2. Step 2: Convert to fraction form
    48,257.32/72,327.66 = 20,497/x
  3. Step 3: Cross multiply
    48,257.32x = 72,327.66 × 20,497
  4. Step 4: Simplify right side
    48,257.32x = 1,482,500,047.02
  5. Step 5: Solve for x
    x = 1,482,500,047.02/48,257.32
  6. Step 6: Final answer
    x = 30,720.73

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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.