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Finding the Fourth Proportional to 161,298, 222,591.24 and 90,642

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Solution

The fourth proportional to 161,298, 222,591.24 and 90,642 is: 125,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,298 : 222,591.24 = 90,642 : x
  2. Step 2: Convert to fraction form
    161,298/222,591.24 = 90,642/x
  3. Step 3: Cross multiply
    161,298x = 222,591.24 × 90,642
  4. Step 4: Simplify right side
    161,298x = 20,176,115,176.08
  5. Step 5: Solve for x
    x = 20,176,115,176.08/161,298
  6. Step 6: Final answer
    x = 125,085.96

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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.