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Finding the Fourth Proportional to 260,894.50, 391,336.17 and 71,354.86

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Solution

The fourth proportional to 260,894.50, 391,336.17 and 71,354.86 is: 107,030.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,894.50 : 391,336.17 = 71,354.86 : x
  2. Step 2: Convert to fraction form
    260,894.50/391,336.17 = 71,354.86/x
  3. Step 3: Cross multiply
    260,894.50x = 391,336.17 × 71,354.86
  4. Step 4: Simplify right side
    260,894.50x = 27,923,737,623.29
  5. Step 5: Solve for x
    x = 27,923,737,623.29/260,894.50
  6. Step 6: Final answer
    x = 107,030.76

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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.