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Finding the Fourth Proportional to 154,165.96, 231,079.12 and 100,835.97

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Solution

The fourth proportional to 154,165.96, 231,079.12 and 100,835.97 is: 151,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,165.96 : 231,079.12 = 100,835.97 : x
  2. Step 2: Convert to fraction form
    154,165.96/231,079.12 = 100,835.97/x
  3. Step 3: Cross multiply
    154,165.96x = 231,079.12 × 100,835.97
  4. Step 4: Simplify right side
    154,165.96x = 23,301,087,211.95
  5. Step 5: Solve for x
    x = 23,301,087,211.95/154,165.96
  6. Step 6: Final answer
    x = 151,142.88

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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.