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Finding the Fourth Proportional to 205,361.61, 307,613.12 and 165,163.34

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Solution

The fourth proportional to 205,361.61, 307,613.12 and 165,163.34 is: 247,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,361.61 : 307,613.12 = 165,163.34 : x
  2. Step 2: Convert to fraction form
    205,361.61/307,613.12 = 165,163.34/x
  3. Step 3: Cross multiply
    205,361.61x = 307,613.12 × 165,163.34
  4. Step 4: Simplify right side
    205,361.61x = 50,806,407,963.14
  5. Step 5: Solve for x
    x = 50,806,407,963.14/205,361.61
  6. Step 6: Final answer
    x = 247,399.74

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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.