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Finding the Fourth Proportional to 80,323.72, 110,859.78 and 76,780.24

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Solution

The fourth proportional to 80,323.72, 110,859.78 and 76,780.24 is: 105,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,323.72 : 110,859.78 = 76,780.24 : x
  2. Step 2: Convert to fraction form
    80,323.72/110,859.78 = 76,780.24/x
  3. Step 3: Cross multiply
    80,323.72x = 110,859.78 × 76,780.24
  4. Step 4: Simplify right side
    80,323.72x = 8,511,840,514.75
  5. Step 5: Solve for x
    x = 8,511,840,514.75/80,323.72
  6. Step 6: Final answer
    x = 105,969.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.