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Finding the Fourth Proportional to 56,865.40, 85,372 and 43,727

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Solution

The fourth proportional to 56,865.40, 85,372 and 43,727 is: 65,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,865.40 : 85,372 = 43,727 : x
  2. Step 2: Convert to fraction form
    56,865.40/85,372 = 43,727/x
  3. Step 3: Cross multiply
    56,865.40x = 85,372 × 43,727
  4. Step 4: Simplify right side
    56,865.40x = 3,733,061,444
  5. Step 5: Solve for x
    x = 3,733,061,444/56,865.40
  6. Step 6: Final answer
    x = 65,647.33

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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.