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Finding the Fourth Proportional to 206,988.34, 310,489.80 and 80,638.06

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Solution

The fourth proportional to 206,988.34, 310,489.80 and 80,638.06 is: 120,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,988.34 : 310,489.80 = 80,638.06 : x
  2. Step 2: Convert to fraction form
    206,988.34/310,489.80 = 80,638.06/x
  3. Step 3: Cross multiply
    206,988.34x = 310,489.80 × 80,638.06
  4. Step 4: Simplify right side
    206,988.34x = 25,037,295,121.79
  5. Step 5: Solve for x
    x = 25,037,295,121.79/206,988.34
  6. Step 6: Final answer
    x = 120,959.93

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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.