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Finding the Fourth Proportional to 154,161.42, 231,238.53 and 71,055.42

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Solution

The fourth proportional to 154,161.42, 231,238.53 and 71,055.42 is: 106,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,161.42 : 231,238.53 = 71,055.42 : x
  2. Step 2: Convert to fraction form
    154,161.42/231,238.53 = 71,055.42/x
  3. Step 3: Cross multiply
    154,161.42x = 231,238.53 × 71,055.42
  4. Step 4: Simplify right side
    154,161.42x = 16,430,750,869.33
  5. Step 5: Solve for x
    x = 16,430,750,869.33/154,161.42
  6. Step 6: Final answer
    x = 106,581.47

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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.