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Finding the Fourth Proportional to 144,065, 198,832.74 and 84,449

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Solution

The fourth proportional to 144,065, 198,832.74 and 84,449 is: 116,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,065 : 198,832.74 = 84,449 : x
  2. Step 2: Convert to fraction form
    144,065/198,832.74 = 84,449/x
  3. Step 3: Cross multiply
    144,065x = 198,832.74 × 84,449
  4. Step 4: Simplify right side
    144,065x = 16,791,226,060.26
  5. Step 5: Solve for x
    x = 16,791,226,060.26/144,065
  6. Step 6: Final answer
    x = 116,553.13

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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.