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Finding the Fourth Proportional to 72,418.62, 108,597.15 and 33,000.78

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Solution

The fourth proportional to 72,418.62, 108,597.15 and 33,000.78 is: 49,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,418.62 : 108,597.15 = 33,000.78 : x
  2. Step 2: Convert to fraction form
    72,418.62/108,597.15 = 33,000.78/x
  3. Step 3: Cross multiply
    72,418.62x = 108,597.15 × 33,000.78
  4. Step 4: Simplify right side
    72,418.62x = 3,583,790,655.78
  5. Step 5: Solve for x
    x = 3,583,790,655.78/72,418.62
  6. Step 6: Final answer
    x = 49,487.14

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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.