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Finding the Fourth Proportional to 135,503.66, 203,033.76 and 82,033.57

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Solution

The fourth proportional to 135,503.66, 203,033.76 and 82,033.57 is: 122,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,503.66 : 203,033.76 = 82,033.57 : x
  2. Step 2: Convert to fraction form
    135,503.66/203,033.76 = 82,033.57/x
  3. Step 3: Cross multiply
    135,503.66x = 203,033.76 × 82,033.57
  4. Step 4: Simplify right side
    135,503.66x = 16,655,584,109.49
  5. Step 5: Solve for x
    x = 16,655,584,109.49/135,503.66
  6. Step 6: Final answer
    x = 122,916.12

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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.