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Finding the Fourth Proportional to 270,751.53, 406,499.96 and 137,721.72

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Solution

The fourth proportional to 270,751.53, 406,499.96 and 137,721.72 is: 206,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,751.53 : 406,499.96 = 137,721.72 : x
  2. Step 2: Convert to fraction form
    270,751.53/406,499.96 = 137,721.72/x
  3. Step 3: Cross multiply
    270,751.53x = 406,499.96 × 137,721.72
  4. Step 4: Simplify right side
    270,751.53x = 55,983,872,982.52
  5. Step 5: Solve for x
    x = 55,983,872,982.52/270,751.53
  6. Step 6: Final answer
    x = 206,772.14

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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.