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Finding the Fourth Proportional to 135,141.20, 202,643.80 and 41,634.80

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Solution

The fourth proportional to 135,141.20, 202,643.80 and 41,634.80 is: 62,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,141.20 : 202,643.80 = 41,634.80 : x
  2. Step 2: Convert to fraction form
    135,141.20/202,643.80 = 41,634.80/x
  3. Step 3: Cross multiply
    135,141.20x = 202,643.80 × 41,634.80
  4. Step 4: Simplify right side
    135,141.20x = 8,437,034,084.24
  5. Step 5: Solve for x
    x = 8,437,034,084.24/135,141.20
  6. Step 6: Final answer
    x = 62,431.25

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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.