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Finding the Fourth Proportional to 206,714.90, 310,160.10 and 100,178.15

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Solution

The fourth proportional to 206,714.90, 310,160.10 and 100,178.15 is: 150,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,714.90 : 310,160.10 = 100,178.15 : x
  2. Step 2: Convert to fraction form
    206,714.90/310,160.10 = 100,178.15/x
  3. Step 3: Cross multiply
    206,714.90x = 310,160.10 × 100,178.15
  4. Step 4: Simplify right side
    206,714.90x = 31,071,266,190.93
  5. Step 5: Solve for x
    x = 31,071,266,190.93/206,714.90
  6. Step 6: Final answer
    x = 150,309.76

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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.