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Finding the Fourth Proportional to 148,065, 204,329.68 and 80,081.96

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Solution

The fourth proportional to 148,065, 204,329.68 and 80,081.96 is: 110,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,065 : 204,329.68 = 80,081.96 : x
  2. Step 2: Convert to fraction form
    148,065/204,329.68 = 80,081.96/x
  3. Step 3: Cross multiply
    148,065x = 204,329.68 × 80,081.96
  4. Step 4: Simplify right side
    148,065x = 16,363,121,260.57
  5. Step 5: Solve for x
    x = 16,363,121,260.57/148,065
  6. Step 6: Final answer
    x = 110,513.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.