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Finding the Fourth Proportional to 90,185.92, 135,309.89 and 40,300.45

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Solution

The fourth proportional to 90,185.92, 135,309.89 and 40,300.45 is: 60,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,185.92 : 135,309.89 = 40,300.45 : x
  2. Step 2: Convert to fraction form
    90,185.92/135,309.89 = 40,300.45/x
  3. Step 3: Cross multiply
    90,185.92x = 135,309.89 × 40,300.45
  4. Step 4: Simplify right side
    90,185.92x = 5,453,049,218.93
  5. Step 5: Solve for x
    x = 5,453,049,218.93/90,185.92
  6. Step 6: Final answer
    x = 60,464.53

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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.