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Finding the Fourth Proportional to 90,509.90, 135,784.38 and 27,324.78

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Solution

The fourth proportional to 90,509.90, 135,784.38 and 27,324.78 is: 40,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,509.90 : 135,784.38 = 27,324.78 : x
  2. Step 2: Convert to fraction form
    90,509.90/135,784.38 = 27,324.78/x
  3. Step 3: Cross multiply
    90,509.90x = 135,784.38 × 27,324.78
  4. Step 4: Simplify right side
    90,509.90x = 3,710,278,310.94
  5. Step 5: Solve for x
    x = 3,710,278,310.94/90,509.90
  6. Step 6: Final answer
    x = 40,993.07

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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.