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Finding the Fourth Proportional to 71,950.86, 99,293.41 and 39,689.18

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Solution

The fourth proportional to 71,950.86, 99,293.41 and 39,689.18 is: 54,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,950.86 : 99,293.41 = 39,689.18 : x
  2. Step 2: Convert to fraction form
    71,950.86/99,293.41 = 39,689.18/x
  3. Step 3: Cross multiply
    71,950.86x = 99,293.41 × 39,689.18
  4. Step 4: Simplify right side
    71,950.86x = 3,940,874,022.30
  5. Step 5: Solve for x
    x = 3,940,874,022.30/71,950.86
  6. Step 6: Final answer
    x = 54,771.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.