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Finding the Fourth Proportional to 200,077.74, 300,157.11 and 81,758.61

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Solution

The fourth proportional to 200,077.74, 300,157.11 and 81,758.61 is: 122,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,077.74 : 300,157.11 = 81,758.61 : x
  2. Step 2: Convert to fraction form
    200,077.74/300,157.11 = 81,758.61/x
  3. Step 3: Cross multiply
    200,077.74x = 300,157.11 × 81,758.61
  4. Step 4: Simplify right side
    200,077.74x = 24,540,428,095.22
  5. Step 5: Solve for x
    x = 24,540,428,095.22/200,077.74
  6. Step 6: Final answer
    x = 122,654.46

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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.