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Finding the Fourth Proportional to 144,302.82, 199,142.13 and 80,640.75

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Solution

The fourth proportional to 144,302.82, 199,142.13 and 80,640.75 is: 111,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,302.82 : 199,142.13 = 80,640.75 : x
  2. Step 2: Convert to fraction form
    144,302.82/199,142.13 = 80,640.75/x
  3. Step 3: Cross multiply
    144,302.82x = 199,142.13 × 80,640.75
  4. Step 4: Simplify right side
    144,302.82x = 16,058,970,719.80
  5. Step 5: Solve for x
    x = 16,058,970,719.80/144,302.82
  6. Step 6: Final answer
    x = 111,286.60

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1.5x scale

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.