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Finding the Fourth Proportional to 154,164.42, 231,243.03 and 71,058.42

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Solution

The fourth proportional to 154,164.42, 231,243.03 and 71,058.42 is: 106,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,164.42 : 231,243.03 = 71,058.42 : x
  2. Step 2: Convert to fraction form
    154,164.42/231,243.03 = 71,058.42/x
  3. Step 3: Cross multiply
    154,164.42x = 231,243.03 × 71,058.42
  4. Step 4: Simplify right side
    154,164.42x = 16,431,764,347.81
  5. Step 5: Solve for x
    x = 16,431,764,347.81/154,164.42
  6. Step 6: Final answer
    x = 106,585.97

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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.