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Finding the Fourth Proportional to 48,399, 72,627.66 and 20,697

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Solution

The fourth proportional to 48,399, 72,627.66 and 20,697 is: 31,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,399 : 72,627.66 = 20,697 : x
  2. Step 2: Convert to fraction form
    48,399/72,627.66 = 20,697/x
  3. Step 3: Cross multiply
    48,399x = 72,627.66 × 20,697
  4. Step 4: Simplify right side
    48,399x = 1,503,174,679.02
  5. Step 5: Solve for x
    x = 1,503,174,679.02/48,399
  6. Step 6: Final answer
    x = 31,057.97

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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.