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Finding the Fourth Proportional to 271,906.42, 407,901.12 and 138,714.04

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Solution

The fourth proportional to 271,906.42, 407,901.12 and 138,714.04 is: 208,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,906.42 : 407,901.12 = 138,714.04 : x
  2. Step 2: Convert to fraction form
    271,906.42/407,901.12 = 138,714.04/x
  3. Step 3: Cross multiply
    271,906.42x = 407,901.12 × 138,714.04
  4. Step 4: Simplify right side
    271,906.42x = 56,581,612,275.72
  5. Step 5: Solve for x
    x = 56,581,612,275.72/271,906.42
  6. Step 6: Final answer
    x = 208,092.23

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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.