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Finding the Fourth Proportional to 200,542.21, 300,610.89 and 125,714.90

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Solution

The fourth proportional to 200,542.21, 300,610.89 and 125,714.90 is: 188,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,542.21 : 300,610.89 = 125,714.90 : x
  2. Step 2: Convert to fraction form
    200,542.21/300,610.89 = 125,714.90/x
  3. Step 3: Cross multiply
    200,542.21x = 300,610.89 × 125,714.90
  4. Step 4: Simplify right side
    200,542.21x = 37,791,268,726.79
  5. Step 5: Solve for x
    x = 37,791,268,726.79/200,542.21
  6. Step 6: Final answer
    x = 188,445.46

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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.