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Finding the Fourth Proportional to 138,873.96, 208,294.47 and 36,284.49

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Solution

The fourth proportional to 138,873.96, 208,294.47 and 36,284.49 is: 54,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,873.96 : 208,294.47 = 36,284.49 : x
  2. Step 2: Convert to fraction form
    138,873.96/208,294.47 = 36,284.49/x
  3. Step 3: Cross multiply
    138,873.96x = 208,294.47 × 36,284.49
  4. Step 4: Simplify right side
    138,873.96x = 7,557,858,613.77
  5. Step 5: Solve for x
    x = 7,557,858,613.77/138,873.96
  6. Step 6: Final answer
    x = 54,422.43

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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.