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Finding the Fourth Proportional to 57,642.56, 86,462.22 and 31,512.80

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Solution

The fourth proportional to 57,642.56, 86,462.22 and 31,512.80 is: 47,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642.56 : 86,462.22 = 31,512.80 : x
  2. Step 2: Convert to fraction form
    57,642.56/86,462.22 = 31,512.80/x
  3. Step 3: Cross multiply
    57,642.56x = 86,462.22 × 31,512.80
  4. Step 4: Simplify right side
    57,642.56x = 2,724,666,646.42
  5. Step 5: Solve for x
    x = 2,724,666,646.42/57,642.56
  6. Step 6: Final answer
    x = 47,268.31

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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.