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Finding the Fourth Proportional to 43,138.62, 64,664.10 and 32,728.50

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Solution

The fourth proportional to 43,138.62, 64,664.10 and 32,728.50 is: 49,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,138.62 : 64,664.10 = 32,728.50 : x
  2. Step 2: Convert to fraction form
    43,138.62/64,664.10 = 32,728.50/x
  3. Step 3: Cross multiply
    43,138.62x = 64,664.10 × 32,728.50
  4. Step 4: Simplify right side
    43,138.62x = 2,116,358,996.85
  5. Step 5: Solve for x
    x = 2,116,358,996.85/43,138.62
  6. Step 6: Final answer
    x = 49,059.50

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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.