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Finding the Fourth Proportional to 209,974.19, 315,091.94 and 85,315.19

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Solution

The fourth proportional to 209,974.19, 315,091.94 and 85,315.19 is: 128,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,974.19 : 315,091.94 = 85,315.19 : x
  2. Step 2: Convert to fraction form
    209,974.19/315,091.94 = 85,315.19/x
  3. Step 3: Cross multiply
    209,974.19x = 315,091.94 × 85,315.19
  4. Step 4: Simplify right side
    209,974.19x = 26,882,126,726.53
  5. Step 5: Solve for x
    x = 26,882,126,726.53/209,974.19
  6. Step 6: Final answer
    x = 128,025.87

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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.