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Finding the Fourth Proportional to 50,931, 76,427.22 and 21,747

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Solution

The fourth proportional to 50,931, 76,427.22 and 21,747 is: 32,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,931 : 76,427.22 = 21,747 : x
  2. Step 2: Convert to fraction form
    50,931/76,427.22 = 21,747/x
  3. Step 3: Cross multiply
    50,931x = 76,427.22 × 21,747
  4. Step 4: Simplify right side
    50,931x = 1,662,062,753.34
  5. Step 5: Solve for x
    x = 1,662,062,753.34/50,931
  6. Step 6: Final answer
    x = 32,633.62

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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.