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Finding the Fourth Proportional to 87,786, 121,144.92 and 48,042

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Solution

The fourth proportional to 87,786, 121,144.92 and 48,042 is: 66,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,786 : 121,144.92 = 48,042 : x
  2. Step 2: Convert to fraction form
    87,786/121,144.92 = 48,042/x
  3. Step 3: Cross multiply
    87,786x = 121,144.92 × 48,042
  4. Step 4: Simplify right side
    87,786x = 5,820,044,246.64
  5. Step 5: Solve for x
    x = 5,820,044,246.64/87,786
  6. Step 6: Final answer
    x = 66,298.09

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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.