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Finding the Fourth Proportional to 109,306.73, 163,960.13 and 84,383.17

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Solution

The fourth proportional to 109,306.73, 163,960.13 and 84,383.17 is: 126,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306.73 : 163,960.13 = 84,383.17 : x
  2. Step 2: Convert to fraction form
    109,306.73/163,960.13 = 84,383.17/x
  3. Step 3: Cross multiply
    109,306.73x = 163,960.13 × 84,383.17
  4. Step 4: Simplify right side
    109,306.73x = 13,835,475,324.07
  5. Step 5: Solve for x
    x = 13,835,475,324.07/109,306.73
  6. Step 6: Final answer
    x = 126,574.78

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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.