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Finding the Fourth Proportional to 71,684.75, 107,354.21 and 56,639.55

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Solution

The fourth proportional to 71,684.75, 107,354.21 and 56,639.55 is: 84,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,684.75 : 107,354.21 = 56,639.55 : x
  2. Step 2: Convert to fraction form
    71,684.75/107,354.21 = 56,639.55/x
  3. Step 3: Cross multiply
    71,684.75x = 107,354.21 × 56,639.55
  4. Step 4: Simplify right side
    71,684.75x = 6,080,494,582.98
  5. Step 5: Solve for x
    x = 6,080,494,582.98/71,684.75
  6. Step 6: Final answer
    x = 84,822.71

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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.