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Finding the Fourth Proportional to 32,105.75, 48,138.12 and 15,432.62

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Solution

The fourth proportional to 32,105.75, 48,138.12 and 15,432.62 is: 23,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.75 : 48,138.12 = 15,432.62 : x
  2. Step 2: Convert to fraction form
    32,105.75/48,138.12 = 15,432.62/x
  3. Step 3: Cross multiply
    32,105.75x = 48,138.12 × 15,432.62
  4. Step 4: Simplify right side
    32,105.75x = 742,897,072.78
  5. Step 5: Solve for x
    x = 742,897,072.78/32,105.75
  6. Step 6: Final answer
    x = 23,139.07

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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.