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Finding the Fourth Proportional to 77,681.67, 116,608.97 and 40,231.72

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Solution

The fourth proportional to 77,681.67, 116,608.97 and 40,231.72 is: 60,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,681.67 : 116,608.97 = 40,231.72 : x
  2. Step 2: Convert to fraction form
    77,681.67/116,608.97 = 40,231.72/x
  3. Step 3: Cross multiply
    77,681.67x = 116,608.97 × 40,231.72
  4. Step 4: Simplify right side
    77,681.67x = 4,691,379,450.57
  5. Step 5: Solve for x
    x = 4,691,379,450.57/77,681.67
  6. Step 6: Final answer
    x = 60,392.36

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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.