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Finding the Fourth Proportional to 76,912.80, 106,139.56 and 43,378.80

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Solution

The fourth proportional to 76,912.80, 106,139.56 and 43,378.80 is: 59,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,912.80 : 106,139.56 = 43,378.80 : x
  2. Step 2: Convert to fraction form
    76,912.80/106,139.56 = 43,378.80/x
  3. Step 3: Cross multiply
    76,912.80x = 106,139.56 × 43,378.80
  4. Step 4: Simplify right side
    76,912.80x = 4,604,206,745.33
  5. Step 5: Solve for x
    x = 4,604,206,745.33/76,912.80
  6. Step 6: Final answer
    x = 59,862.69

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1.5x scale

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.