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Finding the Fourth Proportional to 271,285.53, 406,979.32 and 109,191.97

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Solution

The fourth proportional to 271,285.53, 406,979.32 and 109,191.97 is: 163,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,285.53 : 406,979.32 = 109,191.97 : x
  2. Step 2: Convert to fraction form
    271,285.53/406,979.32 = 109,191.97/x
  3. Step 3: Cross multiply
    271,285.53x = 406,979.32 × 109,191.97
  4. Step 4: Simplify right side
    271,285.53x = 44,438,873,700.06
  5. Step 5: Solve for x
    x = 44,438,873,700.06/271,285.53
  6. Step 6: Final answer
    x = 163,808.49

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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.