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Finding the Fourth Proportional to 50,580.72, 75,890.70 and 20,991

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Solution

The fourth proportional to 50,580.72, 75,890.70 and 20,991 is: 31,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,580.72 : 75,890.70 = 20,991 : x
  2. Step 2: Convert to fraction form
    50,580.72/75,890.70 = 20,991/x
  3. Step 3: Cross multiply
    50,580.72x = 75,890.70 × 20,991
  4. Step 4: Simplify right side
    50,580.72x = 1,593,021,683.70
  5. Step 5: Solve for x
    x = 1,593,021,683.70/50,580.72
  6. Step 6: Final answer
    x = 31,494.64

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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.