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Finding the Fourth Proportional to 80,221.68, 120,430.44 and 77,050.44

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Solution

The fourth proportional to 80,221.68, 120,430.44 and 77,050.44 is: 115,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,221.68 : 120,430.44 = 77,050.44 : x
  2. Step 2: Convert to fraction form
    80,221.68/120,430.44 = 77,050.44/x
  3. Step 3: Cross multiply
    80,221.68x = 120,430.44 × 77,050.44
  4. Step 4: Simplify right side
    80,221.68x = 9,279,218,391.39
  5. Step 5: Solve for x
    x = 9,279,218,391.39/80,221.68
  6. Step 6: Final answer
    x = 115,669.71

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1.5x scale

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.