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Finding the Fourth Proportional to 76,889.58, 106,029.96 and 51,396

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Solution

The fourth proportional to 76,889.58, 106,029.96 and 51,396 is: 70,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,889.58 : 106,029.96 = 51,396 : x
  2. Step 2: Convert to fraction form
    76,889.58/106,029.96 = 51,396/x
  3. Step 3: Cross multiply
    76,889.58x = 106,029.96 × 51,396
  4. Step 4: Simplify right side
    76,889.58x = 5,449,515,824.16
  5. Step 5: Solve for x
    x = 5,449,515,824.16/76,889.58
  6. Step 6: Final answer
    x = 70,874.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.