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Finding the Fourth Proportional to 76,868.87, 106,079.20 and 42,876.48

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Solution

The fourth proportional to 76,868.87, 106,079.20 and 42,876.48 is: 59,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,868.87 : 106,079.20 = 42,876.48 : x
  2. Step 2: Convert to fraction form
    76,868.87/106,079.20 = 42,876.48/x
  3. Step 3: Cross multiply
    76,868.87x = 106,079.20 × 42,876.48
  4. Step 4: Simplify right side
    76,868.87x = 4,548,303,229.00
  5. Step 5: Solve for x
    x = 4,548,303,229.00/76,868.87
  6. Step 6: Final answer
    x = 59,169.64

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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.