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Finding the Fourth Proportional to 76,491.32, 114,639.62 and 43,229.93

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Solution

The fourth proportional to 76,491.32, 114,639.62 and 43,229.93 is: 64,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491.32 : 114,639.62 = 43,229.93 : x
  2. Step 2: Convert to fraction form
    76,491.32/114,639.62 = 43,229.93/x
  3. Step 3: Cross multiply
    76,491.32x = 114,639.62 × 43,229.93
  4. Step 4: Simplify right side
    76,491.32x = 4,955,861,958.48
  5. Step 5: Solve for x
    x = 4,955,861,958.48/76,491.32
  6. Step 6: Final answer
    x = 64,789.86

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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.