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Finding the Fourth Proportional to 161,482, 222,845.16 and 90,826

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Solution

The fourth proportional to 161,482, 222,845.16 and 90,826 is: 125,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,482 : 222,845.16 = 90,826 : x
  2. Step 2: Convert to fraction form
    161,482/222,845.16 = 90,826/x
  3. Step 3: Cross multiply
    161,482x = 222,845.16 × 90,826
  4. Step 4: Simplify right side
    161,482x = 20,240,134,502.16
  5. Step 5: Solve for x
    x = 20,240,134,502.16/161,482
  6. Step 6: Final answer
    x = 125,339.88

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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.