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Finding the Fourth Proportional to 271,407.39, 407,001.69 and 81,809.07

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Solution

The fourth proportional to 271,407.39, 407,001.69 and 81,809.07 is: 122,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,407.39 : 407,001.69 = 81,809.07 : x
  2. Step 2: Convert to fraction form
    271,407.39/407,001.69 = 81,809.07/x
  3. Step 3: Cross multiply
    271,407.39x = 407,001.69 × 81,809.07
  4. Step 4: Simplify right side
    271,407.39x = 33,296,429,747.33
  5. Step 5: Solve for x
    x = 33,296,429,747.33/271,407.39
  6. Step 6: Final answer
    x = 122,680.63

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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.