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Finding the Fourth Proportional to 144,286.50, 199,114.76 and 80,624.30

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Solution

The fourth proportional to 144,286.50, 199,114.76 and 80,624.30 is: 111,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,286.50 : 199,114.76 = 80,624.30 : x
  2. Step 2: Convert to fraction form
    144,286.50/199,114.76 = 80,624.30/x
  3. Step 3: Cross multiply
    144,286.50x = 199,114.76 × 80,624.30
  4. Step 4: Simplify right side
    144,286.50x = 16,053,486,897.14
  5. Step 5: Solve for x
    x = 16,053,486,897.14/144,286.50
  6. Step 6: Final answer
    x = 111,261.19

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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.