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Finding the Fourth Proportional to 135,471.72, 203,338.78 and 65,400.24

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Solution

The fourth proportional to 135,471.72, 203,338.78 and 65,400.24 is: 98,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,471.72 : 203,338.78 = 65,400.24 : x
  2. Step 2: Convert to fraction form
    135,471.72/203,338.78 = 65,400.24/x
  3. Step 3: Cross multiply
    135,471.72x = 203,338.78 × 65,400.24
  4. Step 4: Simplify right side
    135,471.72x = 13,298,405,013.31
  5. Step 5: Solve for x
    x = 13,298,405,013.31/135,471.72
  6. Step 6: Final answer
    x = 98,163.70

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1.5x scale

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.