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Finding the Fourth Proportional to 83,406.88, 115,072.90 and 47,571.12

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Solution

The fourth proportional to 83,406.88, 115,072.90 and 47,571.12 is: 65,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406.88 : 115,072.90 = 47,571.12 : x
  2. Step 2: Convert to fraction form
    83,406.88/115,072.90 = 47,571.12/x
  3. Step 3: Cross multiply
    83,406.88x = 115,072.90 × 47,571.12
  4. Step 4: Simplify right side
    83,406.88x = 5,474,146,734.65
  5. Step 5: Solve for x
    x = 5,474,146,734.65/83,406.88
  6. Step 6: Final answer
    x = 65,631.84

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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.