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Finding the Fourth Proportional to 234,589.32, 351,804.60 and 76,778.64

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Solution

The fourth proportional to 234,589.32, 351,804.60 and 76,778.64 is: 115,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,589.32 : 351,804.60 = 76,778.64 : x
  2. Step 2: Convert to fraction form
    234,589.32/351,804.60 = 76,778.64/x
  3. Step 3: Cross multiply
    234,589.32x = 351,804.60 × 76,778.64
  4. Step 4: Simplify right side
    234,589.32x = 27,011,078,733.74
  5. Step 5: Solve for x
    x = 27,011,078,733.74/234,589.32
  6. Step 6: Final answer
    x = 115,141.98

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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.