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Finding the Fourth Proportional to 206,874.60, 310,020.30 and 127,753.80

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Solution

The fourth proportional to 206,874.60, 310,020.30 and 127,753.80 is: 191,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,874.60 : 310,020.30 = 127,753.80 : x
  2. Step 2: Convert to fraction form
    206,874.60/310,020.30 = 127,753.80/x
  3. Step 3: Cross multiply
    206,874.60x = 310,020.30 × 127,753.80
  4. Step 4: Simplify right side
    206,874.60x = 39,606,271,402.14
  5. Step 5: Solve for x
    x = 39,606,271,402.14/206,874.60
  6. Step 6: Final answer
    x = 191,450.62

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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.