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Finding the Fourth Proportional to 206,722.13, 310,083.19 and 66,480.75

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Solution

The fourth proportional to 206,722.13, 310,083.19 and 66,480.75 is: 99,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,722.13 : 310,083.19 = 66,480.75 : x
  2. Step 2: Convert to fraction form
    206,722.13/310,083.19 = 66,480.75/x
  3. Step 3: Cross multiply
    206,722.13x = 310,083.19 × 66,480.75
  4. Step 4: Simplify right side
    206,722.13x = 20,614,562,867.39
  5. Step 5: Solve for x
    x = 20,614,562,867.39/206,722.13
  6. Step 6: Final answer
    x = 99,721.13

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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.