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Finding the Fourth Proportional to 147,942, 204,165 and 80,878.32

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Solution

The fourth proportional to 147,942, 204,165 and 80,878.32 is: 111,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,942 : 204,165 = 80,878.32 : x
  2. Step 2: Convert to fraction form
    147,942/204,165 = 80,878.32/x
  3. Step 3: Cross multiply
    147,942x = 204,165 × 80,878.32
  4. Step 4: Simplify right side
    147,942x = 16,512,522,202.80
  5. Step 5: Solve for x
    x = 16,512,522,202.80/147,942
  6. Step 6: Final answer
    x = 111,614.84

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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.