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Finding the Fourth Proportional to 218,714.46, 301,853.43 and 123,243.90

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Solution

The fourth proportional to 218,714.46, 301,853.43 and 123,243.90 is: 170,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,714.46 : 301,853.43 = 123,243.90 : x
  2. Step 2: Convert to fraction form
    218,714.46/301,853.43 = 123,243.90/x
  3. Step 3: Cross multiply
    218,714.46x = 301,853.43 × 123,243.90
  4. Step 4: Simplify right side
    218,714.46x = 37,201,593,941.58
  5. Step 5: Solve for x
    x = 37,201,593,941.58/218,714.46
  6. Step 6: Final answer
    x = 170,092.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.