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Finding the Fourth Proportional to 76,574.75, 114,933.20 and 39,161.57

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Solution

The fourth proportional to 76,574.75, 114,933.20 and 39,161.57 is: 58,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,574.75 : 114,933.20 = 39,161.57 : x
  2. Step 2: Convert to fraction form
    76,574.75/114,933.20 = 39,161.57/x
  3. Step 3: Cross multiply
    76,574.75x = 114,933.20 × 39,161.57
  4. Step 4: Simplify right side
    76,574.75x = 4,500,963,786.65
  5. Step 5: Solve for x
    x = 4,500,963,786.65/76,574.75
  6. Step 6: Final answer
    x = 58,778.70

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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.