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Finding the Fourth Proportional to 56,912.70, 85,311.66 and 19,447.26

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Solution

The fourth proportional to 56,912.70, 85,311.66 and 19,447.26 is: 29,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,912.70 : 85,311.66 = 19,447.26 : x
  2. Step 2: Convert to fraction form
    56,912.70/85,311.66 = 19,447.26/x
  3. Step 3: Cross multiply
    56,912.70x = 85,311.66 × 19,447.26
  4. Step 4: Simplify right side
    56,912.70x = 1,659,078,033.05
  5. Step 5: Solve for x
    x = 1,659,078,033.05/56,912.70
  6. Step 6: Final answer
    x = 29,151.28

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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.