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Finding the Fourth Proportional to 32,138.96, 48,208.16 and 8,765.36

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Solution

The fourth proportional to 32,138.96, 48,208.16 and 8,765.36 is: 13,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.96 : 48,208.16 = 8,765.36 : x
  2. Step 2: Convert to fraction form
    32,138.96/48,208.16 = 8,765.36/x
  3. Step 3: Cross multiply
    32,138.96x = 48,208.16 × 8,765.36
  4. Step 4: Simplify right side
    32,138.96x = 422,561,877.34
  5. Step 5: Solve for x
    x = 422,561,877.34/32,138.96
  6. Step 6: Final answer
    x = 13,147.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.