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Finding the Fourth Proportional to 80,414.95, 120,810.92 and 75,870.60

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Solution

The fourth proportional to 80,414.95, 120,810.92 and 75,870.60 is: 113,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,414.95 : 120,810.92 = 75,870.60 : x
  2. Step 2: Convert to fraction form
    80,414.95/120,810.92 = 75,870.60/x
  3. Step 3: Cross multiply
    80,414.95x = 120,810.92 × 75,870.60
  4. Step 4: Simplify right side
    80,414.95x = 9,165,996,271.00
  5. Step 5: Solve for x
    x = 9,165,996,271.00/80,414.95
  6. Step 6: Final answer
    x = 113,983.73

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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.