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Finding the Fourth Proportional to 76,998.86, 106,251.52 and 43,002.62

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Solution

The fourth proportional to 76,998.86, 106,251.52 and 43,002.62 is: 59,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,998.86 : 106,251.52 = 43,002.62 : x
  2. Step 2: Convert to fraction form
    76,998.86/106,251.52 = 43,002.62/x
  3. Step 3: Cross multiply
    76,998.86x = 106,251.52 × 43,002.62
  4. Step 4: Simplify right side
    76,998.86x = 4,569,093,738.98
  5. Step 5: Solve for x
    x = 4,569,093,738.98/76,998.86
  6. Step 6: Final answer
    x = 59,339.76

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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.