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Finding the Fourth Proportional to 100,821.20, 151,231.80 and 85,074.80

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Solution

The fourth proportional to 100,821.20, 151,231.80 and 85,074.80 is: 127,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,821.20 : 151,231.80 = 85,074.80 : x
  2. Step 2: Convert to fraction form
    100,821.20/151,231.80 = 85,074.80/x
  3. Step 3: Cross multiply
    100,821.20x = 151,231.80 × 85,074.80
  4. Step 4: Simplify right side
    100,821.20x = 12,866,015,138.64
  5. Step 5: Solve for x
    x = 12,866,015,138.64/100,821.20
  6. Step 6: Final answer
    x = 127,612.20

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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.