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Finding the Fourth Proportional to 80,653.86, 120,901.95 and 36,291.78

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Solution

The fourth proportional to 80,653.86, 120,901.95 and 36,291.78 is: 54,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,653.86 : 120,901.95 = 36,291.78 : x
  2. Step 2: Convert to fraction form
    80,653.86/120,901.95 = 36,291.78/x
  3. Step 3: Cross multiply
    80,653.86x = 120,901.95 × 36,291.78
  4. Step 4: Simplify right side
    80,653.86x = 4,387,746,970.97
  5. Step 5: Solve for x
    x = 4,387,746,970.97/80,653.86
  6. Step 6: Final answer
    x = 54,402.19

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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.