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Finding the Fourth Proportional to 80,470.48, 120,902.52 and 75,994.40

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Solution

The fourth proportional to 80,470.48, 120,902.52 and 75,994.40 is: 114,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,470.48 : 120,902.52 = 75,994.40 : x
  2. Step 2: Convert to fraction form
    80,470.48/120,902.52 = 75,994.40/x
  3. Step 3: Cross multiply
    80,470.48x = 120,902.52 × 75,994.40
  4. Step 4: Simplify right side
    80,470.48x = 9,187,914,465.89
  5. Step 5: Solve for x
    x = 9,187,914,465.89/80,470.48
  6. Step 6: Final answer
    x = 114,177.45

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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.