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Finding the Fourth Proportional to 80,621.40, 120,701.70 and 71,405.40

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Solution

The fourth proportional to 80,621.40, 120,701.70 and 71,405.40 is: 106,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,621.40 : 120,701.70 = 71,405.40 : x
  2. Step 2: Convert to fraction form
    80,621.40/120,701.70 = 71,405.40/x
  3. Step 3: Cross multiply
    80,621.40x = 120,701.70 × 71,405.40
  4. Step 4: Simplify right side
    80,621.40x = 8,618,753,169.18
  5. Step 5: Solve for x
    x = 8,618,753,169.18/80,621.40
  6. Step 6: Final answer
    x = 106,904.04

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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.