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Finding the Fourth Proportional to 84,842, 127,231 and 68,161.04

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Solution

The fourth proportional to 84,842, 127,231 and 68,161.04 is: 102,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,842 : 127,231 = 68,161.04 : x
  2. Step 2: Convert to fraction form
    84,842/127,231 = 68,161.04/x
  3. Step 3: Cross multiply
    84,842x = 127,231 × 68,161.04
  4. Step 4: Simplify right side
    84,842x = 8,672,197,280.24
  5. Step 5: Solve for x
    x = 8,672,197,280.24/84,842
  6. Step 6: Final answer
    x = 102,215.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.