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Finding the Fourth Proportional to 72,092.68, 108,205.50 and 36,578.90

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Solution

The fourth proportional to 72,092.68, 108,205.50 and 36,578.90 is: 54,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,092.68 : 108,205.50 = 36,578.90 : x
  2. Step 2: Convert to fraction form
    72,092.68/108,205.50 = 36,578.90/x
  3. Step 3: Cross multiply
    72,092.68x = 108,205.50 × 36,578.90
  4. Step 4: Simplify right side
    72,092.68x = 3,958,038,163.95
  5. Step 5: Solve for x
    x = 3,958,038,163.95/72,092.68
  6. Step 6: Final answer
    x = 54,902.08

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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.