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Finding the Fourth Proportional to 76,719.81, 115,079.43 and 34,550.50

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Solution

The fourth proportional to 76,719.81, 115,079.43 and 34,550.50 is: 51,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,719.81 : 115,079.43 = 34,550.50 : x
  2. Step 2: Convert to fraction form
    76,719.81/115,079.43 = 34,550.50/x
  3. Step 3: Cross multiply
    76,719.81x = 115,079.43 × 34,550.50
  4. Step 4: Simplify right side
    76,719.81x = 3,976,051,903.85
  5. Step 5: Solve for x
    x = 3,976,051,903.85/76,719.81
  6. Step 6: Final answer
    x = 51,825.62

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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.