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Finding the Fourth Proportional to 87,942, 121,359.96 and 48,198

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Solution

The fourth proportional to 87,942, 121,359.96 and 48,198 is: 66,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,942 : 121,359.96 = 48,198 : x
  2. Step 2: Convert to fraction form
    87,942/121,359.96 = 48,198/x
  3. Step 3: Cross multiply
    87,942x = 121,359.96 × 48,198
  4. Step 4: Simplify right side
    87,942x = 5,849,307,352.08
  5. Step 5: Solve for x
    x = 5,849,307,352.08/87,942
  6. Step 6: Final answer
    x = 66,513.24

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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.