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Finding the Fourth Proportional to 90,649.82, 135,928.03 and 40,687.08

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Solution

The fourth proportional to 90,649.82, 135,928.03 and 40,687.08 is: 61,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,649.82 : 135,928.03 = 40,687.08 : x
  2. Step 2: Convert to fraction form
    90,649.82/135,928.03 = 40,687.08/x
  3. Step 3: Cross multiply
    90,649.82x = 135,928.03 × 40,687.08
  4. Step 4: Simplify right side
    90,649.82x = 5,530,514,630.85
  5. Step 5: Solve for x
    x = 5,530,514,630.85/90,649.82
  6. Step 6: Final answer
    x = 61,009.66

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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.