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Finding the Fourth Proportional to 154,131.20, 230,851.20 and 133,395.20

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Solution

The fourth proportional to 154,131.20, 230,851.20 and 133,395.20 is: 199,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,131.20 : 230,851.20 = 133,395.20 : x
  2. Step 2: Convert to fraction form
    154,131.20/230,851.20 = 133,395.20/x
  3. Step 3: Cross multiply
    154,131.20x = 230,851.20 × 133,395.20
  4. Step 4: Simplify right side
    154,131.20x = 30,794,441,994.24
  5. Step 5: Solve for x
    x = 30,794,441,994.24/154,131.20
  6. Step 6: Final answer
    x = 199,793.70

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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.