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Finding the Fourth Proportional to 135,163.47, 202,723.91 and 45,205.50

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Solution

The fourth proportional to 135,163.47, 202,723.91 and 45,205.50 is: 67,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,163.47 : 202,723.91 = 45,205.50 : x
  2. Step 2: Convert to fraction form
    135,163.47/202,723.91 = 45,205.50/x
  3. Step 3: Cross multiply
    135,163.47x = 202,723.91 × 45,205.50
  4. Step 4: Simplify right side
    135,163.47x = 9,164,235,487.48
  5. Step 5: Solve for x
    x = 9,164,235,487.48/135,163.47
  6. Step 6: Final answer
    x = 67,801.13

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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.