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Finding the Fourth Proportional to 120,894.84, 166,781.10 and 80,569.24

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Solution

The fourth proportional to 120,894.84, 166,781.10 and 80,569.24 is: 111,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,894.84 : 166,781.10 = 80,569.24 : x
  2. Step 2: Convert to fraction form
    120,894.84/166,781.10 = 80,569.24/x
  3. Step 3: Cross multiply
    120,894.84x = 166,781.10 × 80,569.24
  4. Step 4: Simplify right side
    120,894.84x = 13,437,426,473.36
  5. Step 5: Solve for x
    x = 13,437,426,473.36/120,894.84
  6. Step 6: Final answer
    x = 111,149.71

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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.