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Finding the Fourth Proportional to 71,855.26, 99,162.74 and 41,640.64

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Solution

The fourth proportional to 71,855.26, 99,162.74 and 41,640.64 is: 57,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,855.26 : 99,162.74 = 41,640.64 : x
  2. Step 2: Convert to fraction form
    71,855.26/99,162.74 = 41,640.64/x
  3. Step 3: Cross multiply
    71,855.26x = 99,162.74 × 41,640.64
  4. Step 4: Simplify right side
    71,855.26x = 4,129,199,957.75
  5. Step 5: Solve for x
    x = 4,129,199,957.75/71,855.26
  6. Step 6: Final answer
    x = 57,465.52

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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.