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Finding the Fourth Proportional to 270,754.72, 406,504.77 and 137,725

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Solution

The fourth proportional to 270,754.72, 406,504.77 and 137,725 is: 206,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,754.72 : 406,504.77 = 137,725 : x
  2. Step 2: Convert to fraction form
    270,754.72/406,504.77 = 137,725/x
  3. Step 3: Cross multiply
    270,754.72x = 406,504.77 × 137,725
  4. Step 4: Simplify right side
    270,754.72x = 55,985,869,448.25
  5. Step 5: Solve for x
    x = 55,985,869,448.25/270,754.72
  6. Step 6: Final answer
    x = 206,777.08

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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.