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Finding the Fourth Proportional to 159,530.45, 239,295.67 and 109,458.74

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Solution

The fourth proportional to 159,530.45, 239,295.67 and 109,458.74 is: 164,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,530.45 : 239,295.67 = 109,458.74 : x
  2. Step 2: Convert to fraction form
    159,530.45/239,295.67 = 109,458.74/x
  3. Step 3: Cross multiply
    159,530.45x = 239,295.67 × 109,458.74
  4. Step 4: Simplify right side
    159,530.45x = 26,193,002,850.25
  5. Step 5: Solve for x
    x = 26,193,002,850.25/159,530.45
  6. Step 6: Final answer
    x = 164,188.11

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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.