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Finding the Fourth Proportional to 50,553.72, 75,850.23 and 20,964

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Solution

The fourth proportional to 50,553.72, 75,850.23 and 20,964 is: 31,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,553.72 : 75,850.23 = 20,964 : x
  2. Step 2: Convert to fraction form
    50,553.72/75,850.23 = 20,964/x
  3. Step 3: Cross multiply
    50,553.72x = 75,850.23 × 20,964
  4. Step 4: Simplify right side
    50,553.72x = 1,590,124,221.72
  5. Step 5: Solve for x
    x = 1,590,124,221.72/50,553.72
  6. Step 6: Final answer
    x = 31,454.15

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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.