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Finding the Fourth Proportional to 159,742.92, 239,651.29 and 47,420.65

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Solution

The fourth proportional to 159,742.92, 239,651.29 and 47,420.65 is: 71,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,742.92 : 239,651.29 = 47,420.65 : x
  2. Step 2: Convert to fraction form
    159,742.92/239,651.29 = 47,420.65/x
  3. Step 3: Cross multiply
    159,742.92x = 239,651.29 × 47,420.65
  4. Step 4: Simplify right side
    159,742.92x = 11,364,420,540.96
  5. Step 5: Solve for x
    x = 11,364,420,540.96/159,742.92
  6. Step 6: Final answer
    x = 71,141.93

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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.