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Finding the Fourth Proportional to 147,961, 204,186.90 and 80,893

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Solution

The fourth proportional to 147,961, 204,186.90 and 80,893 is: 111,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,961 : 204,186.90 = 80,893 : x
  2. Step 2: Convert to fraction form
    147,961/204,186.90 = 80,893/x
  3. Step 3: Cross multiply
    147,961x = 204,186.90 × 80,893
  4. Step 4: Simplify right side
    147,961x = 16,517,290,901.70
  5. Step 5: Solve for x
    x = 16,517,290,901.70/147,961
  6. Step 6: Final answer
    x = 111,632.73

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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.