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Finding the Fourth Proportional to 271,060.31, 406,962.86 and 138,029.96

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Solution

The fourth proportional to 271,060.31, 406,962.86 and 138,029.96 is: 207,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,060.31 : 406,962.86 = 138,029.96 : x
  2. Step 2: Convert to fraction form
    271,060.31/406,962.86 = 138,029.96/x
  3. Step 3: Cross multiply
    271,060.31x = 406,962.86 × 138,029.96
  4. Step 4: Simplify right side
    271,060.31x = 56,173,064,562.32
  5. Step 5: Solve for x
    x = 56,173,064,562.32/271,060.31
  6. Step 6: Final answer
    x = 207,234.57

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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.