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Finding the Fourth Proportional to 76,706.61, 115,057.17 and 26,786.52

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Solution

The fourth proportional to 76,706.61, 115,057.17 and 26,786.52 is: 40,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,706.61 : 115,057.17 = 26,786.52 : x
  2. Step 2: Convert to fraction form
    76,706.61/115,057.17 = 26,786.52/x
  3. Step 3: Cross multiply
    76,706.61x = 115,057.17 × 26,786.52
  4. Step 4: Simplify right side
    76,706.61x = 3,081,981,185.35
  5. Step 5: Solve for x
    x = 3,081,981,185.35/76,706.61
  6. Step 6: Final answer
    x = 40,178.82

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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.