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Finding the Fourth Proportional to 87,750, 121,095.48 and 48,006

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Solution

The fourth proportional to 87,750, 121,095.48 and 48,006 is: 66,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,750 : 121,095.48 = 48,006 : x
  2. Step 2: Convert to fraction form
    87,750/121,095.48 = 48,006/x
  3. Step 3: Cross multiply
    87,750x = 121,095.48 × 48,006
  4. Step 4: Simplify right side
    87,750x = 5,813,309,612.88
  5. Step 5: Solve for x
    x = 5,813,309,612.88/87,750
  6. Step 6: Final answer
    x = 66,248.54

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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.