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Finding the Fourth Proportional to 200,639.64, 301,058.07 and 80,691.80

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Solution

The fourth proportional to 200,639.64, 301,058.07 and 80,691.80 is: 121,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,639.64 : 301,058.07 = 80,691.80 : x
  2. Step 2: Convert to fraction form
    200,639.64/301,058.07 = 80,691.80/x
  3. Step 3: Cross multiply
    200,639.64x = 301,058.07 × 80,691.80
  4. Step 4: Simplify right side
    200,639.64x = 24,292,917,875.42
  5. Step 5: Solve for x
    x = 24,292,917,875.42/200,639.64
  6. Step 6: Final answer
    x = 121,077.36

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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.