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Finding the Fourth Proportional to 206,578.20, 310,049.55 and 122,232.90

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Solution

The fourth proportional to 206,578.20, 310,049.55 and 122,232.90 is: 183,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578.20 : 310,049.55 = 122,232.90 : x
  2. Step 2: Convert to fraction form
    206,578.20/310,049.55 = 122,232.90/x
  3. Step 3: Cross multiply
    206,578.20x = 310,049.55 × 122,232.90
  4. Step 4: Simplify right side
    206,578.20x = 37,898,255,640.20
  5. Step 5: Solve for x
    x = 37,898,255,640.20/206,578.20
  6. Step 6: Final answer
    x = 183,457.19

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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.