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Finding the Fourth Proportional to 271,029.43, 406,916.54 and 137,999.08

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Solution

The fourth proportional to 271,029.43, 406,916.54 and 137,999.08 is: 207,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,029.43 : 406,916.54 = 137,999.08 : x
  2. Step 2: Convert to fraction form
    271,029.43/406,916.54 = 137,999.08/x
  3. Step 3: Cross multiply
    271,029.43x = 406,916.54 × 137,999.08
  4. Step 4: Simplify right side
    271,029.43x = 56,154,108,156.78
  5. Step 5: Solve for x
    x = 56,154,108,156.78/271,029.43
  6. Step 6: Final answer
    x = 207,188.23

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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.