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Finding the Fourth Proportional to 135,995.08, 203,697.18 and 65,727

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Solution

The fourth proportional to 135,995.08, 203,697.18 and 65,727 is: 98,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,995.08 : 203,697.18 = 65,727 : x
  2. Step 2: Convert to fraction form
    135,995.08/203,697.18 = 65,727/x
  3. Step 3: Cross multiply
    135,995.08x = 203,697.18 × 65,727
  4. Step 4: Simplify right side
    135,995.08x = 13,388,404,549.86
  5. Step 5: Solve for x
    x = 13,388,404,549.86/135,995.08
  6. Step 6: Final answer
    x = 98,447.71

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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.