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Finding the Fourth Proportional to 141,217.84, 194,843.40 and 83,842

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Solution

The fourth proportional to 141,217.84, 194,843.40 and 83,842 is: 115,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,217.84 : 194,843.40 = 83,842 : x
  2. Step 2: Convert to fraction form
    141,217.84/194,843.40 = 83,842/x
  3. Step 3: Cross multiply
    141,217.84x = 194,843.40 × 83,842
  4. Step 4: Simplify right side
    141,217.84x = 16,336,060,342.80
  5. Step 5: Solve for x
    x = 16,336,060,342.80/141,217.84
  6. Step 6: Final answer
    x = 115,679.86

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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.