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Finding the Fourth Proportional to 140,649.16, 194,101.16 and 80,229.64

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Solution

The fourth proportional to 140,649.16, 194,101.16 and 80,229.64 is: 110,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,649.16 : 194,101.16 = 80,229.64 : x
  2. Step 2: Convert to fraction form
    140,649.16/194,101.16 = 80,229.64/x
  3. Step 3: Cross multiply
    140,649.16x = 194,101.16 × 80,229.64
  4. Step 4: Simplify right side
    140,649.16x = 15,572,666,190.38
  5. Step 5: Solve for x
    x = 15,572,666,190.38/140,649.16
  6. Step 6: Final answer
    x = 110,719.94

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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.