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Finding the Fourth Proportional to 271,024.68, 406,786.56 and 138,000

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Solution

The fourth proportional to 271,024.68, 406,786.56 and 138,000 is: 207,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,024.68 : 406,786.56 = 138,000 : x
  2. Step 2: Convert to fraction form
    271,024.68/406,786.56 = 138,000/x
  3. Step 3: Cross multiply
    271,024.68x = 406,786.56 × 138,000
  4. Step 4: Simplify right side
    271,024.68x = 56,136,545,280
  5. Step 5: Solve for x
    x = 56,136,545,280/271,024.68
  6. Step 6: Final answer
    x = 207,127.06

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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.