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Finding the Fourth Proportional to 76,299.92, 114,469.76 and 28,915.36

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Solution

The fourth proportional to 76,299.92, 114,469.76 and 28,915.36 is: 43,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,299.92 : 114,469.76 = 28,915.36 : x
  2. Step 2: Convert to fraction form
    76,299.92/114,469.76 = 28,915.36/x
  3. Step 3: Cross multiply
    76,299.92x = 114,469.76 × 28,915.36
  4. Step 4: Simplify right side
    76,299.92x = 3,309,934,319.51
  5. Step 5: Solve for x
    x = 3,309,934,319.51/76,299.92
  6. Step 6: Final answer
    x = 43,380.57

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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.