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Finding the Fourth Proportional to 154,562.40, 231,843.60 and 145,231.20

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Solution

The fourth proportional to 154,562.40, 231,843.60 and 145,231.20 is: 217,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,562.40 : 231,843.60 = 145,231.20 : x
  2. Step 2: Convert to fraction form
    154,562.40/231,843.60 = 145,231.20/x
  3. Step 3: Cross multiply
    154,562.40x = 231,843.60 × 145,231.20
  4. Step 4: Simplify right side
    154,562.40x = 33,670,924,240.32
  5. Step 5: Solve for x
    x = 33,670,924,240.32/154,562.40
  6. Step 6: Final answer
    x = 217,846.80

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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.