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Finding the Fourth Proportional to 200,286, 276,318.36 and 132,335.28

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Solution

The fourth proportional to 200,286, 276,318.36 and 132,335.28 is: 182,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,286 : 276,318.36 = 132,335.28 : x
  2. Step 2: Convert to fraction form
    200,286/276,318.36 = 132,335.28/x
  3. Step 3: Cross multiply
    200,286x = 276,318.36 × 132,335.28
  4. Step 4: Simplify right side
    200,286x = 36,566,667,539.74
  5. Step 5: Solve for x
    x = 36,566,667,539.74/200,286
  6. Step 6: Final answer
    x = 182,572.26

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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.