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Finding the Fourth Proportional to 271,686.70, 407,511.82 and 72,002.80

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Solution

The fourth proportional to 271,686.70, 407,511.82 and 72,002.80 is: 107,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,686.70 : 407,511.82 = 72,002.80 : x
  2. Step 2: Convert to fraction form
    271,686.70/407,511.82 = 72,002.80/x
  3. Step 3: Cross multiply
    271,686.70x = 407,511.82 × 72,002.80
  4. Step 4: Simplify right side
    271,686.70x = 29,341,992,073.10
  5. Step 5: Solve for x
    x = 29,341,992,073.10/271,686.70
  6. Step 6: Final answer
    x = 107,999.37

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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.