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Finding the Fourth Proportional to 271,021.31, 406,904.36 and 137,990.96

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Solution

The fourth proportional to 271,021.31, 406,904.36 and 137,990.96 is: 207,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,021.31 : 406,904.36 = 137,990.96 : x
  2. Step 2: Convert to fraction form
    271,021.31/406,904.36 = 137,990.96/x
  3. Step 3: Cross multiply
    271,021.31x = 406,904.36 × 137,990.96
  4. Step 4: Simplify right side
    271,021.31x = 56,149,121,057.58
  5. Step 5: Solve for x
    x = 56,149,121,057.58/271,021.31
  6. Step 6: Final answer
    x = 207,176.04

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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.