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Finding the Fourth Proportional to 222,022.50, 306,398.34 and 121,420.50

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Solution

The fourth proportional to 222,022.50, 306,398.34 and 121,420.50 is: 167,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,022.50 : 306,398.34 = 121,420.50 : x
  2. Step 2: Convert to fraction form
    222,022.50/306,398.34 = 121,420.50/x
  3. Step 3: Cross multiply
    222,022.50x = 306,398.34 × 121,420.50
  4. Step 4: Simplify right side
    222,022.50x = 37,203,039,641.97
  5. Step 5: Solve for x
    x = 37,203,039,641.97/222,022.50
  6. Step 6: Final answer
    x = 167,564.28

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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.