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Finding the Fourth Proportional to 48,638.06, 72,944.02 and 18,645.78

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Solution

The fourth proportional to 48,638.06, 72,944.02 and 18,645.78 is: 27,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,638.06 : 72,944.02 = 18,645.78 : x
  2. Step 2: Convert to fraction form
    48,638.06/72,944.02 = 18,645.78/x
  3. Step 3: Cross multiply
    48,638.06x = 72,944.02 × 18,645.78
  4. Step 4: Simplify right side
    48,638.06x = 1,360,098,149.24
  5. Step 5: Solve for x
    x = 1,360,098,149.24/48,638.06
  6. Step 6: Final answer
    x = 27,963.66

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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.