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Finding the Fourth Proportional to 50,929, 76,424.22 and 21,745

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Solution

The fourth proportional to 50,929, 76,424.22 and 21,745 is: 32,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,929 : 76,424.22 = 21,745 : x
  2. Step 2: Convert to fraction form
    50,929/76,424.22 = 21,745/x
  3. Step 3: Cross multiply
    50,929x = 76,424.22 × 21,745
  4. Step 4: Simplify right side
    50,929x = 1,661,844,663.90
  5. Step 5: Solve for x
    x = 1,661,844,663.90/50,929
  6. Step 6: Final answer
    x = 32,630.62

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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.