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Finding the Fourth Proportional to 206,972.60, 310,458.90 and 73,857.20

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Solution

The fourth proportional to 206,972.60, 310,458.90 and 73,857.20 is: 110,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972.60 : 310,458.90 = 73,857.20 : x
  2. Step 2: Convert to fraction form
    206,972.60/310,458.90 = 73,857.20/x
  3. Step 3: Cross multiply
    206,972.60x = 310,458.90 × 73,857.20
  4. Step 4: Simplify right side
    206,972.60x = 22,929,625,069.08
  5. Step 5: Solve for x
    x = 22,929,625,069.08/206,972.60
  6. Step 6: Final answer
    x = 110,785.80

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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.