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Finding the Fourth Proportional to 109,306.80, 163,960.23 and 84,383.23

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Solution

The fourth proportional to 109,306.80, 163,960.23 and 84,383.23 is: 126,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306.80 : 163,960.23 = 84,383.23 : x
  2. Step 2: Convert to fraction form
    109,306.80/163,960.23 = 84,383.23/x
  3. Step 3: Cross multiply
    109,306.80x = 163,960.23 × 84,383.23
  4. Step 4: Simplify right side
    109,306.80x = 13,835,493,798.94
  5. Step 5: Solve for x
    x = 13,835,493,798.94/109,306.80
  6. Step 6: Final answer
    x = 126,574.87

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1.5x scale

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.