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Finding the Fourth Proportional to 80,146.86, 111,108.44 and 75,880.84

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Solution

The fourth proportional to 80,146.86, 111,108.44 and 75,880.84 is: 105,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,146.86 : 111,108.44 = 75,880.84 : x
  2. Step 2: Convert to fraction form
    80,146.86/111,108.44 = 75,880.84/x
  3. Step 3: Cross multiply
    80,146.86x = 111,108.44 × 75,880.84
  4. Step 4: Simplify right side
    80,146.86x = 8,431,001,758.29
  5. Step 5: Solve for x
    x = 8,431,001,758.29/80,146.86
  6. Step 6: Final answer
    x = 105,194.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.