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Finding the Fourth Proportional to 109,306.78, 163,960.20 and 84,383.21

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Solution

The fourth proportional to 109,306.78, 163,960.20 and 84,383.21 is: 126,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306.78 : 163,960.20 = 84,383.21 : x
  2. Step 2: Convert to fraction form
    109,306.78/163,960.20 = 84,383.21/x
  3. Step 3: Cross multiply
    109,306.78x = 163,960.20 × 84,383.21
  4. Step 4: Simplify right side
    109,306.78x = 13,835,488,398.14
  5. Step 5: Solve for x
    x = 13,835,488,398.14/109,306.78
  6. Step 6: Final answer
    x = 126,574.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.