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Finding the Fourth Proportional to 234,617.76, 351,891 and 76,842.72

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Solution

The fourth proportional to 234,617.76, 351,891 and 76,842.72 is: 115,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,617.76 : 351,891 = 76,842.72 : x
  2. Step 2: Convert to fraction form
    234,617.76/351,891 = 76,842.72/x
  3. Step 3: Cross multiply
    234,617.76x = 351,891 × 76,842.72
  4. Step 4: Simplify right side
    234,617.76x = 27,040,261,583.52
  5. Step 5: Solve for x
    x = 27,040,261,583.52/234,617.76
  6. Step 6: Final answer
    x = 115,252.41

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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.