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Finding the Fourth Proportional to 135,137.25, 202,708.71 and 41,643

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Solution

The fourth proportional to 135,137.25, 202,708.71 and 41,643 is: 62,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,137.25 : 202,708.71 = 41,643 : x
  2. Step 2: Convert to fraction form
    135,137.25/202,708.71 = 41,643/x
  3. Step 3: Cross multiply
    135,137.25x = 202,708.71 × 41,643
  4. Step 4: Simplify right side
    135,137.25x = 8,441,398,810.53
  5. Step 5: Solve for x
    x = 8,441,398,810.53/135,137.25
  6. Step 6: Final answer
    x = 62,465.37

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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.