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Finding the Fourth Proportional to 69,505.80, 104,178.04 and 31,987.11

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Solution

The fourth proportional to 69,505.80, 104,178.04 and 31,987.11 is: 47,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,505.80 : 104,178.04 = 31,987.11 : x
  2. Step 2: Convert to fraction form
    69,505.80/104,178.04 = 31,987.11/x
  3. Step 3: Cross multiply
    69,505.80x = 104,178.04 × 31,987.11
  4. Step 4: Simplify right side
    69,505.80x = 3,332,354,425.06
  5. Step 5: Solve for x
    x = 3,332,354,425.06/69,505.80
  6. Step 6: Final answer
    x = 47,943.54

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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.