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Finding the Fourth Proportional to 144,001, 198,721.38 and 84,385

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Solution

The fourth proportional to 144,001, 198,721.38 and 84,385 is: 116,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,001 : 198,721.38 = 84,385 : x
  2. Step 2: Convert to fraction form
    144,001/198,721.38 = 84,385/x
  3. Step 3: Cross multiply
    144,001x = 198,721.38 × 84,385
  4. Step 4: Simplify right side
    144,001x = 16,769,103,651.30
  5. Step 5: Solve for x
    x = 16,769,103,651.30/144,001
  6. Step 6: Final answer
    x = 116,451.30

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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.