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Finding the Fourth Proportional to 154,493.30, 231,610.35 and 80,621.30

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Solution

The fourth proportional to 154,493.30, 231,610.35 and 80,621.30 is: 120,864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,493.30 : 231,610.35 = 80,621.30 : x
  2. Step 2: Convert to fraction form
    154,493.30/231,610.35 = 80,621.30/x
  3. Step 3: Cross multiply
    154,493.30x = 231,610.35 × 80,621.30
  4. Step 4: Simplify right side
    154,493.30x = 18,672,727,510.46
  5. Step 5: Solve for x
    x = 18,672,727,510.46/154,493.30
  6. Step 6: Final answer
    x = 120,864.32

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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.