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Finding the Fourth Proportional to 223,058.56, 307,821.20 and 121,084.09

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Solution

The fourth proportional to 223,058.56, 307,821.20 and 121,084.09 is: 167,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,058.56 : 307,821.20 = 121,084.09 : x
  2. Step 2: Convert to fraction form
    223,058.56/307,821.20 = 121,084.09/x
  3. Step 3: Cross multiply
    223,058.56x = 307,821.20 × 121,084.09
  4. Step 4: Simplify right side
    223,058.56x = 37,272,250,187.42
  5. Step 5: Solve for x
    x = 37,272,250,187.42/223,058.56
  6. Step 6: Final answer
    x = 167,096.26

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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.