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Finding the Fourth Proportional to 272,069.89, 408,147.09 and 138,878.08

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Solution

The fourth proportional to 272,069.89, 408,147.09 and 138,878.08 is: 208,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,069.89 : 408,147.09 = 138,878.08 : x
  2. Step 2: Convert to fraction form
    272,069.89/408,147.09 = 138,878.08/x
  3. Step 3: Cross multiply
    272,069.89x = 408,147.09 × 138,878.08
  4. Step 4: Simplify right side
    272,069.89x = 56,682,681,481.66
  5. Step 5: Solve for x
    x = 56,682,681,481.66/272,069.89
  6. Step 6: Final answer
    x = 208,338.68

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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.