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Finding the Fourth Proportional to 71,786.76, 99,064.71 and 39,955.65

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Solution

The fourth proportional to 71,786.76, 99,064.71 and 39,955.65 is: 55,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.76 : 99,064.71 = 39,955.65 : x
  2. Step 2: Convert to fraction form
    71,786.76/99,064.71 = 39,955.65/x
  3. Step 3: Cross multiply
    71,786.76x = 99,064.71 × 39,955.65
  4. Step 4: Simplify right side
    71,786.76x = 3,958,194,880.11
  5. Step 5: Solve for x
    x = 3,958,194,880.11/71,786.76
  6. Step 6: Final answer
    x = 55,138.23

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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.