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Finding the Fourth Proportional to 72,324.31, 108,503.79 and 30,180.95

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Solution

The fourth proportional to 72,324.31, 108,503.79 and 30,180.95 is: 45,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,324.31 : 108,503.79 = 30,180.95 : x
  2. Step 2: Convert to fraction form
    72,324.31/108,503.79 = 30,180.95/x
  3. Step 3: Cross multiply
    72,324.31x = 108,503.79 × 30,180.95
  4. Step 4: Simplify right side
    72,324.31x = 3,274,746,906.83
  5. Step 5: Solve for x
    x = 3,274,746,906.83/72,324.31
  6. Step 6: Final answer
    x = 45,278.65

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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.