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Finding the Fourth Proportional to 50,589.66, 75,904.20 and 21,000

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Solution

The fourth proportional to 50,589.66, 75,904.20 and 21,000 is: 31,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,589.66 : 75,904.20 = 21,000 : x
  2. Step 2: Convert to fraction form
    50,589.66/75,904.20 = 21,000/x
  3. Step 3: Cross multiply
    50,589.66x = 75,904.20 × 21,000
  4. Step 4: Simplify right side
    50,589.66x = 1,593,988,200
  5. Step 5: Solve for x
    x = 1,593,988,200/50,589.66
  6. Step 6: Final answer
    x = 31,508.18

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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.