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Finding the Fourth Proportional to 71,629.88, 107,466.29 and 28,913.32

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Solution

The fourth proportional to 71,629.88, 107,466.29 and 28,913.32 is: 43,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,629.88 : 107,466.29 = 28,913.32 : x
  2. Step 2: Convert to fraction form
    71,629.88/107,466.29 = 28,913.32/x
  3. Step 3: Cross multiply
    71,629.88x = 107,466.29 × 28,913.32
  4. Step 4: Simplify right side
    71,629.88x = 3,107,206,550.08
  5. Step 5: Solve for x
    x = 3,107,206,550.08/71,629.88
  6. Step 6: Final answer
    x = 43,378.64

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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.