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Finding the Fourth Proportional to 161,102.25, 222,314.88 and 89,486.82

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Solution

The fourth proportional to 161,102.25, 222,314.88 and 89,486.82 is: 123,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,102.25 : 222,314.88 = 89,486.82 : x
  2. Step 2: Convert to fraction form
    161,102.25/222,314.88 = 89,486.82/x
  3. Step 3: Cross multiply
    161,102.25x = 222,314.88 × 89,486.82
  4. Step 4: Simplify right side
    161,102.25x = 19,894,251,649.88
  5. Step 5: Solve for x
    x = 19,894,251,649.88/161,102.25
  6. Step 6: Final answer
    x = 123,488.35

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1.5x scale

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.