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Finding the Fourth Proportional to 271,354.60, 406,916.70 and 131,156.20

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Solution

The fourth proportional to 271,354.60, 406,916.70 and 131,156.20 is: 196,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,354.60 : 406,916.70 = 131,156.20 : x
  2. Step 2: Convert to fraction form
    271,354.60/406,916.70 = 131,156.20/x
  3. Step 3: Cross multiply
    271,354.60x = 406,916.70 × 131,156.20
  4. Step 4: Simplify right side
    271,354.60x = 53,369,648,088.54
  5. Step 5: Solve for x
    x = 53,369,648,088.54/271,354.60
  6. Step 6: Final answer
    x = 196,678.62

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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.