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Finding the Fourth Proportional to 159,214.94, 238,879.82 and 80,269.71

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Solution

The fourth proportional to 159,214.94, 238,879.82 and 80,269.71 is: 120,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,214.94 : 238,879.82 = 80,269.71 : x
  2. Step 2: Convert to fraction form
    159,214.94/238,879.82 = 80,269.71/x
  3. Step 3: Cross multiply
    159,214.94x = 238,879.82 × 80,269.71
  4. Step 4: Simplify right side
    159,214.94x = 19,174,813,474.90
  5. Step 5: Solve for x
    x = 19,174,813,474.90/159,214.94
  6. Step 6: Final answer
    x = 120,433.51

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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.