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Finding the Fourth Proportional to 76,509.97, 114,760.50 and 34,379.17

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Solution

The fourth proportional to 76,509.97, 114,760.50 and 34,379.17 is: 51,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.97 : 114,760.50 = 34,379.17 : x
  2. Step 2: Convert to fraction form
    76,509.97/114,760.50 = 34,379.17/x
  3. Step 3: Cross multiply
    76,509.97x = 114,760.50 × 34,379.17
  4. Step 4: Simplify right side
    76,509.97x = 3,945,370,738.79
  5. Step 5: Solve for x
    x = 3,945,370,738.79/76,509.97
  6. Step 6: Final answer
    x = 51,566.75

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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.