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Finding the Fourth Proportional to 159,149.67, 238,724.57 and 40,821

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Solution

The fourth proportional to 159,149.67, 238,724.57 and 40,821 is: 61,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,149.67 : 238,724.57 = 40,821 : x
  2. Step 2: Convert to fraction form
    159,149.67/238,724.57 = 40,821/x
  3. Step 3: Cross multiply
    159,149.67x = 238,724.57 × 40,821
  4. Step 4: Simplify right side
    159,149.67x = 9,744,975,467.87
  5. Step 5: Solve for x
    x = 9,744,975,467.87/159,149.67
  6. Step 6: Final answer
    x = 61,231.52

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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.