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Finding the Fourth Proportional to 270,649.13, 405,862.71 and 81,042.71

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Solution

The fourth proportional to 270,649.13, 405,862.71 and 81,042.71 is: 121,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,649.13 : 405,862.71 = 81,042.71 : x
  2. Step 2: Convert to fraction form
    270,649.13/405,862.71 = 81,042.71/x
  3. Step 3: Cross multiply
    270,649.13x = 405,862.71 × 81,042.71
  4. Step 4: Simplify right side
    270,649.13x = 32,892,213,906.34
  5. Step 5: Solve for x
    x = 32,892,213,906.34/270,649.13
  6. Step 6: Final answer
    x = 121,530.83

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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.