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Finding the Fourth Proportional to 135,644.20, 203,322.30 and 65,477.80

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Solution

The fourth proportional to 135,644.20, 203,322.30 and 65,477.80 is: 98,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,644.20 : 203,322.30 = 65,477.80 : x
  2. Step 2: Convert to fraction form
    135,644.20/203,322.30 = 65,477.80/x
  3. Step 3: Cross multiply
    135,644.20x = 203,322.30 × 65,477.80
  4. Step 4: Simplify right side
    135,644.20x = 13,313,096,894.94
  5. Step 5: Solve for x
    x = 13,313,096,894.94/135,644.20
  6. Step 6: Final answer
    x = 98,147.19

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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.