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Finding the Fourth Proportional to 71,804.82, 107,612.19 and 55,101

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Solution

The fourth proportional to 71,804.82, 107,612.19 and 55,101 is: 82,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,804.82 : 107,612.19 = 55,101 : x
  2. Step 2: Convert to fraction form
    71,804.82/107,612.19 = 55,101/x
  3. Step 3: Cross multiply
    71,804.82x = 107,612.19 × 55,101
  4. Step 4: Simplify right side
    71,804.82x = 5,929,539,281.19
  5. Step 5: Solve for x
    x = 5,929,539,281.19/71,804.82
  6. Step 6: Final answer
    x = 82,578.57

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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.