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Finding the Fourth Proportional to 83,907.65, 125,861.48 and 78,775.49

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Solution

The fourth proportional to 83,907.65, 125,861.48 and 78,775.49 is: 118,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,907.65 : 125,861.48 = 78,775.49 : x
  2. Step 2: Convert to fraction form
    83,907.65/125,861.48 = 78,775.49/x
  3. Step 3: Cross multiply
    83,907.65x = 125,861.48 × 78,775.49
  4. Step 4: Simplify right side
    83,907.65x = 9,914,798,735.94
  5. Step 5: Solve for x
    x = 9,914,798,735.94/83,907.65
  6. Step 6: Final answer
    x = 118,163.23

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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.