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Finding the Fourth Proportional to 135,722.62, 203,583.93 and 42,209.74

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Solution

The fourth proportional to 135,722.62, 203,583.93 and 42,209.74 is: 63,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,722.62 : 203,583.93 = 42,209.74 : x
  2. Step 2: Convert to fraction form
    135,722.62/203,583.93 = 42,209.74/x
  3. Step 3: Cross multiply
    135,722.62x = 203,583.93 × 42,209.74
  4. Step 4: Simplify right side
    135,722.62x = 8,593,224,753.48
  5. Step 5: Solve for x
    x = 8,593,224,753.48/135,722.62
  6. Step 6: Final answer
    x = 63,314.61

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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.