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Finding the Fourth Proportional to 206,848.90, 310,426.95 and 82,279.30

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Solution

The fourth proportional to 206,848.90, 310,426.95 and 82,279.30 is: 123,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848.90 : 310,426.95 = 82,279.30 : x
  2. Step 2: Convert to fraction form
    206,848.90/310,426.95 = 82,279.30/x
  3. Step 3: Cross multiply
    206,848.90x = 310,426.95 × 82,279.30
  4. Step 4: Simplify right side
    206,848.90x = 25,541,712,147.14
  5. Step 5: Solve for x
    x = 25,541,712,147.14/206,848.90
  6. Step 6: Final answer
    x = 123,480.05

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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.