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Finding the Fourth Proportional to 161,394, 222,723.72 and 90,738

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Solution

The fourth proportional to 161,394, 222,723.72 and 90,738 is: 125,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,394 : 222,723.72 = 90,738 : x
  2. Step 2: Convert to fraction form
    161,394/222,723.72 = 90,738/x
  3. Step 3: Cross multiply
    161,394x = 222,723.72 × 90,738
  4. Step 4: Simplify right side
    161,394x = 20,209,504,905.36
  5. Step 5: Solve for x
    x = 20,209,504,905.36/161,394
  6. Step 6: Final answer
    x = 125,218.44

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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.