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Finding the Fourth Proportional to 32,765.82, 45,215.34 and 20,040.32

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Solution

The fourth proportional to 32,765.82, 45,215.34 and 20,040.32 is: 27,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.82 : 45,215.34 = 20,040.32 : x
  2. Step 2: Convert to fraction form
    32,765.82/45,215.34 = 20,040.32/x
  3. Step 3: Cross multiply
    32,765.82x = 45,215.34 × 20,040.32
  4. Step 4: Simplify right side
    32,765.82x = 906,129,656.43
  5. Step 5: Solve for x
    x = 906,129,656.43/32,765.82
  6. Step 6: Final answer
    x = 27,654.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.