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Finding the Fourth Proportional to 271,590.75, 407,401.70 and 71,905.95

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Solution

The fourth proportional to 271,590.75, 407,401.70 and 71,905.95 is: 107,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,590.75 : 407,401.70 = 71,905.95 : x
  2. Step 2: Convert to fraction form
    271,590.75/407,401.70 = 71,905.95/x
  3. Step 3: Cross multiply
    271,590.75x = 407,401.70 × 71,905.95
  4. Step 4: Simplify right side
    271,590.75x = 29,294,605,910.59
  5. Step 5: Solve for x
    x = 29,294,605,910.59/271,590.75
  6. Step 6: Final answer
    x = 107,863.05

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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.