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Finding the Fourth Proportional to 270,730.36, 406,164.66 and 81,190

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Solution

The fourth proportional to 270,730.36, 406,164.66 and 81,190 is: 121,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,730.36 : 406,164.66 = 81,190 : x
  2. Step 2: Convert to fraction form
    270,730.36/406,164.66 = 81,190/x
  3. Step 3: Cross multiply
    270,730.36x = 406,164.66 × 81,190
  4. Step 4: Simplify right side
    270,730.36x = 32,976,508,745.40
  5. Step 5: Solve for x
    x = 32,976,508,745.40/270,730.36
  6. Step 6: Final answer
    x = 121,805.73

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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.