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Finding the Fourth Proportional to 84,894.92, 117,161.94 and 54,743

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Solution

The fourth proportional to 84,894.92, 117,161.94 and 54,743 is: 75,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,894.92 : 117,161.94 = 54,743 : x
  2. Step 2: Convert to fraction form
    84,894.92/117,161.94 = 54,743/x
  3. Step 3: Cross multiply
    84,894.92x = 117,161.94 × 54,743
  4. Step 4: Simplify right side
    84,894.92x = 6,413,796,081.42
  5. Step 5: Solve for x
    x = 6,413,796,081.42/84,894.92
  6. Step 6: Final answer
    x = 75,549.82

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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.