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Finding the Fourth Proportional to 206,689.20, 310,034.02 and 82,030.20

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Solution

The fourth proportional to 206,689.20, 310,034.02 and 82,030.20 is: 123,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,689.20 : 310,034.02 = 82,030.20 : x
  2. Step 2: Convert to fraction form
    206,689.20/310,034.02 = 82,030.20/x
  3. Step 3: Cross multiply
    206,689.20x = 310,034.02 × 82,030.20
  4. Step 4: Simplify right side
    206,689.20x = 25,432,152,667.40
  5. Step 5: Solve for x
    x = 25,432,152,667.40/206,689.20
  6. Step 6: Final answer
    x = 123,045.39

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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.