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Finding the Fourth Proportional to 218,891.78, 302,048.51 and 161,562.41

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Solution

The fourth proportional to 218,891.78, 302,048.51 and 161,562.41 is: 222,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,891.78 : 302,048.51 = 161,562.41 : x
  2. Step 2: Convert to fraction form
    218,891.78/302,048.51 = 161,562.41/x
  3. Step 3: Cross multiply
    218,891.78x = 302,048.51 × 161,562.41
  4. Step 4: Simplify right side
    218,891.78x = 48,799,685,212.51
  5. Step 5: Solve for x
    x = 48,799,685,212.51/218,891.78
  6. Step 6: Final answer
    x = 222,939.78

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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.