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Finding the Fourth Proportional to 50,586.66, 75,899.70 and 20,997

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Solution

The fourth proportional to 50,586.66, 75,899.70 and 20,997 is: 31,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,586.66 : 75,899.70 = 20,997 : x
  2. Step 2: Convert to fraction form
    50,586.66/75,899.70 = 20,997/x
  3. Step 3: Cross multiply
    50,586.66x = 75,899.70 × 20,997
  4. Step 4: Simplify right side
    50,586.66x = 1,593,666,000.90
  5. Step 5: Solve for x
    x = 1,593,666,000.90/50,586.66
  6. Step 6: Final answer
    x = 31,503.68

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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.