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Finding the Fourth Proportional to 206,974.08, 310,429.44 and 66,718.08

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Solution

The fourth proportional to 206,974.08, 310,429.44 and 66,718.08 is: 100,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,974.08 : 310,429.44 = 66,718.08 : x
  2. Step 2: Convert to fraction form
    206,974.08/310,429.44 = 66,718.08/x
  3. Step 3: Cross multiply
    206,974.08x = 310,429.44 × 66,718.08
  4. Step 4: Simplify right side
    206,974.08x = 20,711,256,212.28
  5. Step 5: Solve for x
    x = 20,711,256,212.28/206,974.08
  6. Step 6: Final answer
    x = 100,066.91

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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.