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Finding the Fourth Proportional to 161,175.84, 222,330 and 100,641.39

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Solution

The fourth proportional to 161,175.84, 222,330 and 100,641.39 is: 138,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,175.84 : 222,330 = 100,641.39 : x
  2. Step 2: Convert to fraction form
    161,175.84/222,330 = 100,641.39/x
  3. Step 3: Cross multiply
    161,175.84x = 222,330 × 100,641.39
  4. Step 4: Simplify right side
    161,175.84x = 22,375,600,238.70
  5. Step 5: Solve for x
    x = 22,375,600,238.70/161,175.84
  6. Step 6: Final answer
    x = 138,827.26

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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.