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Finding the Fourth Proportional to 83,858.25, 125,710.83 and 76,553.67

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Solution

The fourth proportional to 83,858.25, 125,710.83 and 76,553.67 is: 114,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,858.25 : 125,710.83 = 76,553.67 : x
  2. Step 2: Convert to fraction form
    83,858.25/125,710.83 = 76,553.67/x
  3. Step 3: Cross multiply
    83,858.25x = 125,710.83 × 76,553.67
  4. Step 4: Simplify right side
    83,858.25x = 9,623,625,395.25
  5. Step 5: Solve for x
    x = 9,623,625,395.25/83,858.25
  6. Step 6: Final answer
    x = 114,760.63

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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.