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Finding the Fourth Proportional to 271,594.55, 407,407.39 and 71,909.75

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Solution

The fourth proportional to 271,594.55, 407,407.39 and 71,909.75 is: 107,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,594.55 : 407,407.39 = 71,909.75 : x
  2. Step 2: Convert to fraction form
    271,594.55/407,407.39 = 71,909.75/x
  3. Step 3: Cross multiply
    271,594.55x = 407,407.39 × 71,909.75
  4. Step 4: Simplify right side
    271,594.55x = 29,296,564,401.80
  5. Step 5: Solve for x
    x = 29,296,564,401.80/271,594.55
  6. Step 6: Final answer
    x = 107,868.75

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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.