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Finding the Fourth Proportional to 143,816, 198,472.84 and 80,154.26

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Solution

The fourth proportional to 143,816, 198,472.84 and 80,154.26 is: 110,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,816 : 198,472.84 = 80,154.26 : x
  2. Step 2: Convert to fraction form
    143,816/198,472.84 = 80,154.26/x
  3. Step 3: Cross multiply
    143,816x = 198,472.84 × 80,154.26
  4. Step 4: Simplify right side
    143,816x = 15,908,443,620.30
  5. Step 5: Solve for x
    x = 15,908,443,620.30/143,816
  6. Step 6: Final answer
    x = 110,616.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.