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Finding the Fourth Proportional to 52,124.92, 71,930.62 and 30,891.60

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Solution

The fourth proportional to 52,124.92, 71,930.62 and 30,891.60 is: 42,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,124.92 : 71,930.62 = 30,891.60 : x
  2. Step 2: Convert to fraction form
    52,124.92/71,930.62 = 30,891.60/x
  3. Step 3: Cross multiply
    52,124.92x = 71,930.62 × 30,891.60
  4. Step 4: Simplify right side
    52,124.92x = 2,222,051,940.79
  5. Step 5: Solve for x
    x = 2,222,051,940.79/52,124.92
  6. Step 6: Final answer
    x = 42,629.36

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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.