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Finding the Fourth Proportional to 220,973.80, 331,460.70 and 54,761.80

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Solution

The fourth proportional to 220,973.80, 331,460.70 and 54,761.80 is: 82,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,973.80 : 331,460.70 = 54,761.80 : x
  2. Step 2: Convert to fraction form
    220,973.80/331,460.70 = 54,761.80/x
  3. Step 3: Cross multiply
    220,973.80x = 331,460.70 × 54,761.80
  4. Step 4: Simplify right side
    220,973.80x = 18,151,384,561.26
  5. Step 5: Solve for x
    x = 18,151,384,561.26/220,973.80
  6. Step 6: Final answer
    x = 82,142.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.