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Finding the Fourth Proportional to 200,729.68, 276,987 and 115,874.08

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Solution

The fourth proportional to 200,729.68, 276,987 and 115,874.08 is: 159,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.68 : 276,987 = 115,874.08 : x
  2. Step 2: Convert to fraction form
    200,729.68/276,987 = 115,874.08/x
  3. Step 3: Cross multiply
    200,729.68x = 276,987 × 115,874.08
  4. Step 4: Simplify right side
    200,729.68x = 32,095,613,796.96
  5. Step 5: Solve for x
    x = 32,095,613,796.96/200,729.68
  6. Step 6: Final answer
    x = 159,894.71

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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.