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Finding the Fourth Proportional to 221,843.53, 306,144.17 and 121,241.53

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Solution

The fourth proportional to 221,843.53, 306,144.17 and 121,241.53 is: 167,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,843.53 : 306,144.17 = 121,241.53 : x
  2. Step 2: Convert to fraction form
    221,843.53/306,144.17 = 121,241.53/x
  3. Step 3: Cross multiply
    221,843.53x = 306,144.17 × 121,241.53
  4. Step 4: Simplify right side
    221,843.53x = 37,117,386,965.17
  5. Step 5: Solve for x
    x = 37,117,386,965.17/221,843.53
  6. Step 6: Final answer
    x = 167,313.36

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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.