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Finding the Fourth Proportional to 57,764.82, 86,641.25 and 39,164.34

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Solution

The fourth proportional to 57,764.82, 86,641.25 and 39,164.34 is: 58,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764.82 : 86,641.25 = 39,164.34 : x
  2. Step 2: Convert to fraction form
    57,764.82/86,641.25 = 39,164.34/x
  3. Step 3: Cross multiply
    57,764.82x = 86,641.25 × 39,164.34
  4. Step 4: Simplify right side
    57,764.82x = 3,393,247,177.20
  5. Step 5: Solve for x
    x = 3,393,247,177.20/57,764.82
  6. Step 6: Final answer
    x = 58,742.45

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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.