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Finding the Fourth Proportional to 209,965.92, 315,079.49 and 85,306.92

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Solution

The fourth proportional to 209,965.92, 315,079.49 and 85,306.92 is: 128,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,965.92 : 315,079.49 = 85,306.92 : x
  2. Step 2: Convert to fraction form
    209,965.92/315,079.49 = 85,306.92/x
  3. Step 3: Cross multiply
    209,965.92x = 315,079.49 × 85,306.92
  4. Step 4: Simplify right side
    209,965.92x = 26,878,458,845.14
  5. Step 5: Solve for x
    x = 26,878,458,845.14/209,965.92
  6. Step 6: Final answer
    x = 128,013.44

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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.