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Finding the Fourth Proportional to 80,417.96, 120,815.42 and 75,873.60

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Solution

The fourth proportional to 80,417.96, 120,815.42 and 75,873.60 is: 113,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,417.96 : 120,815.42 = 75,873.60 : x
  2. Step 2: Convert to fraction form
    80,417.96/120,815.42 = 75,873.60/x
  3. Step 3: Cross multiply
    80,417.96x = 120,815.42 × 75,873.60
  4. Step 4: Simplify right side
    80,417.96x = 9,166,700,471.54
  5. Step 5: Solve for x
    x = 9,166,700,471.54/80,417.96
  6. Step 6: Final answer
    x = 113,988.23

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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.