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Finding the Fourth Proportional to 128,732.65, 193,072.57 and 48,743.02

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Solution

The fourth proportional to 128,732.65, 193,072.57 and 48,743.02 is: 73,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,732.65 : 193,072.57 = 48,743.02 : x
  2. Step 2: Convert to fraction form
    128,732.65/193,072.57 = 48,743.02/x
  3. Step 3: Cross multiply
    128,732.65x = 193,072.57 × 48,743.02
  4. Step 4: Simplify right side
    128,732.65x = 9,410,940,140.96
  5. Step 5: Solve for x
    x = 9,410,940,140.96/128,732.65
  6. Step 6: Final answer
    x = 73,104.53

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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.