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Finding the Fourth Proportional to 161,478, 222,839.64 and 90,822

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Solution

The fourth proportional to 161,478, 222,839.64 and 90,822 is: 125,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,478 : 222,839.64 = 90,822 : x
  2. Step 2: Convert to fraction form
    161,478/222,839.64 = 90,822/x
  3. Step 3: Cross multiply
    161,478x = 222,839.64 × 90,822
  4. Step 4: Simplify right side
    161,478x = 20,238,741,784.08
  5. Step 5: Solve for x
    x = 20,238,741,784.08/161,478
  6. Step 6: Final answer
    x = 125,334.36

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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.