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Finding the Fourth Proportional to 76,858.33, 106,137.78 and 72,664.91

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Solution

The fourth proportional to 76,858.33, 106,137.78 and 72,664.91 is: 100,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858.33 : 106,137.78 = 72,664.91 : x
  2. Step 2: Convert to fraction form
    76,858.33/106,137.78 = 72,664.91/x
  3. Step 3: Cross multiply
    76,858.33x = 106,137.78 × 72,664.91
  4. Step 4: Simplify right side
    76,858.33x = 7,712,492,231.30
  5. Step 5: Solve for x
    x = 7,712,492,231.30/76,858.33
  6. Step 6: Final answer
    x = 100,346.86

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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.