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Finding the Fourth Proportional to 73,928, 102,020.64 and 40,394

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Solution

The fourth proportional to 73,928, 102,020.64 and 40,394 is: 55,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,928 : 102,020.64 = 40,394 : x
  2. Step 2: Convert to fraction form
    73,928/102,020.64 = 40,394/x
  3. Step 3: Cross multiply
    73,928x = 102,020.64 × 40,394
  4. Step 4: Simplify right side
    73,928x = 4,121,021,732.16
  5. Step 5: Solve for x
    x = 4,121,021,732.16/73,928
  6. Step 6: Final answer
    x = 55,743.72

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Why These Related Problems?

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