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Finding the Fourth Proportional to 272,068.78, 408,104.11 and 82,530.78

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Solution

The fourth proportional to 272,068.78, 408,104.11 and 82,530.78 is: 123,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,068.78 : 408,104.11 = 82,530.78 : x
  2. Step 2: Convert to fraction form
    272,068.78/408,104.11 = 82,530.78/x
  3. Step 3: Cross multiply
    272,068.78x = 408,104.11 × 82,530.78
  4. Step 4: Simplify right side
    272,068.78x = 33,681,150,519.51
  5. Step 5: Solve for x
    x = 33,681,150,519.51/272,068.78
  6. Step 6: Final answer
    x = 123,796.46

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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.