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Finding the Fourth Proportional to 48,486, 72,729.12 and 15,654

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Solution

The fourth proportional to 48,486, 72,729.12 and 15,654 is: 23,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486 : 72,729.12 = 15,654 : x
  2. Step 2: Convert to fraction form
    48,486/72,729.12 = 15,654/x
  3. Step 3: Cross multiply
    48,486x = 72,729.12 × 15,654
  4. Step 4: Simplify right side
    48,486x = 1,138,501,644.48
  5. Step 5: Solve for x
    x = 1,138,501,644.48/48,486
  6. Step 6: Final answer
    x = 23,481.04

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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.