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Finding the Fourth Proportional to 171,198, 256,913.64 and 60,390

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Solution

The fourth proportional to 171,198, 256,913.64 and 60,390 is: 90,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,198 : 256,913.64 = 60,390 : x
  2. Step 2: Convert to fraction form
    171,198/256,913.64 = 60,390/x
  3. Step 3: Cross multiply
    171,198x = 256,913.64 × 60,390
  4. Step 4: Simplify right side
    171,198x = 15,515,014,719.60
  5. Step 5: Solve for x
    x = 15,515,014,719.60/171,198
  6. Step 6: Final answer
    x = 90,626.14

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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.