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Finding the Fourth Proportional to 221,781.25, 306,058.13 and 121,179.25

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Solution

The fourth proportional to 221,781.25, 306,058.13 and 121,179.25 is: 167,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,781.25 : 306,058.13 = 121,179.25 : x
  2. Step 2: Convert to fraction form
    221,781.25/306,058.13 = 121,179.25/x
  3. Step 3: Cross multiply
    221,781.25x = 306,058.13 × 121,179.25
  4. Step 4: Simplify right side
    221,781.25x = 37,087,894,649.80
  5. Step 5: Solve for x
    x = 37,087,894,649.80/221,781.25
  6. Step 6: Final answer
    x = 167,227.37

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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.