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Finding the Fourth Proportional to 206,680.80, 310,021.20 and 131,885.40

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Solution

The fourth proportional to 206,680.80, 310,021.20 and 131,885.40 is: 197,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,680.80 : 310,021.20 = 131,885.40 : x
  2. Step 2: Convert to fraction form
    206,680.80/310,021.20 = 131,885.40/x
  3. Step 3: Cross multiply
    206,680.80x = 310,021.20 × 131,885.40
  4. Step 4: Simplify right side
    206,680.80x = 40,887,269,970.48
  5. Step 5: Solve for x
    x = 40,887,269,970.48/206,680.80
  6. Step 6: Final answer
    x = 197,828.10

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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.