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Finding the Fourth Proportional to 135,946.80, 203,920.20 and 122,168.70

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Solution

The fourth proportional to 135,946.80, 203,920.20 and 122,168.70 is: 183,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,946.80 : 203,920.20 = 122,168.70 : x
  2. Step 2: Convert to fraction form
    135,946.80/203,920.20 = 122,168.70/x
  3. Step 3: Cross multiply
    135,946.80x = 203,920.20 × 122,168.70
  4. Step 4: Simplify right side
    135,946.80x = 24,912,665,737.74
  5. Step 5: Solve for x
    x = 24,912,665,737.74/135,946.80
  6. Step 6: Final answer
    x = 183,253.05

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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.