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Finding the Fourth Proportional to 76,754.28, 115,098.48 and 26,819.40

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Solution

The fourth proportional to 76,754.28, 115,098.48 and 26,819.40 is: 40,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,754.28 : 115,098.48 = 26,819.40 : x
  2. Step 2: Convert to fraction form
    76,754.28/115,098.48 = 26,819.40/x
  3. Step 3: Cross multiply
    76,754.28x = 115,098.48 × 26,819.40
  4. Step 4: Simplify right side
    76,754.28x = 3,086,872,174.51
  5. Step 5: Solve for x
    x = 3,086,872,174.51/76,754.28
  6. Step 6: Final answer
    x = 40,217.59

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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.