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Finding the Fourth Proportional to 135,976.64, 203,669.20 and 65,708

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Solution

The fourth proportional to 135,976.64, 203,669.20 and 65,708 is: 98,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,976.64 : 203,669.20 = 65,708 : x
  2. Step 2: Convert to fraction form
    135,976.64/203,669.20 = 65,708/x
  3. Step 3: Cross multiply
    135,976.64x = 203,669.20 × 65,708
  4. Step 4: Simplify right side
    135,976.64x = 13,382,695,793.60
  5. Step 5: Solve for x
    x = 13,382,695,793.60/135,976.64
  6. Step 6: Final answer
    x = 98,419.08

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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.