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Finding the Fourth Proportional to 52,285, 78,383.40 and 22,680.54

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Solution

The fourth proportional to 52,285, 78,383.40 and 22,680.54 is: 34,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,285 : 78,383.40 = 22,680.54 : x
  2. Step 2: Convert to fraction form
    52,285/78,383.40 = 22,680.54/x
  3. Step 3: Cross multiply
    52,285x = 78,383.40 × 22,680.54
  4. Step 4: Simplify right side
    52,285x = 1,777,777,839.04
  5. Step 5: Solve for x
    x = 1,777,777,839.04/52,285
  6. Step 6: Final answer
    x = 34,001.68

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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.