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Finding the Fourth Proportional to 48,307, 72,489.68 and 20,605

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Solution

The fourth proportional to 48,307, 72,489.68 and 20,605 is: 30,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,307 : 72,489.68 = 20,605 : x
  2. Step 2: Convert to fraction form
    48,307/72,489.68 = 20,605/x
  3. Step 3: Cross multiply
    48,307x = 72,489.68 × 20,605
  4. Step 4: Simplify right side
    48,307x = 1,493,649,856.40
  5. Step 5: Solve for x
    x = 1,493,649,856.40/48,307
  6. Step 6: Final answer
    x = 30,919.95

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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.