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Finding the Fourth Proportional to 161,324, 222,627.12 and 90,668

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Solution

The fourth proportional to 161,324, 222,627.12 and 90,668 is: 125,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,324 : 222,627.12 = 90,668 : x
  2. Step 2: Convert to fraction form
    161,324/222,627.12 = 90,668/x
  3. Step 3: Cross multiply
    161,324x = 222,627.12 × 90,668
  4. Step 4: Simplify right side
    161,324x = 20,185,155,716.16
  5. Step 5: Solve for x
    x = 20,185,155,716.16/161,324
  6. Step 6: Final answer
    x = 125,121.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.