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Finding the Fourth Proportional to 80,101.20, 120,007.80 and 38,456.40

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Solution

The fourth proportional to 80,101.20, 120,007.80 and 38,456.40 is: 57,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,101.20 : 120,007.80 = 38,456.40 : x
  2. Step 2: Convert to fraction form
    80,101.20/120,007.80 = 38,456.40/x
  3. Step 3: Cross multiply
    80,101.20x = 120,007.80 × 38,456.40
  4. Step 4: Simplify right side
    80,101.20x = 4,615,067,959.92
  5. Step 5: Solve for x
    x = 4,615,067,959.92/80,101.20
  6. Step 6: Final answer
    x = 57,615.47

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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.