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Finding the Fourth Proportional to 135,339.39, 202,971.90 and 75,293.88

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Solution

The fourth proportional to 135,339.39, 202,971.90 and 75,293.88 is: 112,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,339.39 : 202,971.90 = 75,293.88 : x
  2. Step 2: Convert to fraction form
    135,339.39/202,971.90 = 75,293.88/x
  3. Step 3: Cross multiply
    135,339.39x = 202,971.90 × 75,293.88
  4. Step 4: Simplify right side
    135,339.39x = 15,282,541,881.97
  5. Step 5: Solve for x
    x = 15,282,541,881.97/135,339.39
  6. Step 6: Final answer
    x = 112,920.13

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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.