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Finding the Fourth Proportional to 154,222.40, 231,333.60 and 137,309.60

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Solution

The fourth proportional to 154,222.40, 231,333.60 and 137,309.60 is: 205,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,222.40 : 231,333.60 = 137,309.60 : x
  2. Step 2: Convert to fraction form
    154,222.40/231,333.60 = 137,309.60/x
  3. Step 3: Cross multiply
    154,222.40x = 231,333.60 × 137,309.60
  4. Step 4: Simplify right side
    154,222.40x = 31,764,324,082.56
  5. Step 5: Solve for x
    x = 31,764,324,082.56/154,222.40
  6. Step 6: Final answer
    x = 205,964.40

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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.