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Finding the Fourth Proportional to 259,440, 389,163.24 and 93,228

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Solution

The fourth proportional to 259,440, 389,163.24 and 93,228 is: 139,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,440 : 389,163.24 = 93,228 : x
  2. Step 2: Convert to fraction form
    259,440/389,163.24 = 93,228/x
  3. Step 3: Cross multiply
    259,440x = 389,163.24 × 93,228
  4. Step 4: Simplify right side
    259,440x = 36,280,910,538.72
  5. Step 5: Solve for x
    x = 36,280,910,538.72/259,440
  6. Step 6: Final answer
    x = 139,843.16

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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.