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Finding the Fourth Proportional to 90,678, 136,036.44 and 38,131.68

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Solution

The fourth proportional to 90,678, 136,036.44 and 38,131.68 is: 57,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,678 : 136,036.44 = 38,131.68 : x
  2. Step 2: Convert to fraction form
    90,678/136,036.44 = 38,131.68/x
  3. Step 3: Cross multiply
    90,678x = 136,036.44 × 38,131.68
  4. Step 4: Simplify right side
    90,678x = 5,187,297,998.42
  5. Step 5: Solve for x
    x = 5,187,297,998.42/90,678
  6. Step 6: Final answer
    x = 57,205.69

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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.