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Finding the Fourth Proportional to 144,000.71, 198,721.10 and 80,338.52

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Solution

The fourth proportional to 144,000.71, 198,721.10 and 80,338.52 is: 110,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,000.71 : 198,721.10 = 80,338.52 : x
  2. Step 2: Convert to fraction form
    144,000.71/198,721.10 = 80,338.52/x
  3. Step 3: Cross multiply
    144,000.71x = 198,721.10 × 80,338.52
  4. Step 4: Simplify right side
    144,000.71x = 15,964,958,073.17
  5. Step 5: Solve for x
    x = 15,964,958,073.17/144,000.71
  6. Step 6: Final answer
    x = 110,867.22

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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.