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Finding the Fourth Proportional to 69,871.69, 104,823.78 and 19,952.47

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Solution

The fourth proportional to 69,871.69, 104,823.78 and 19,952.47 is: 29,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,871.69 : 104,823.78 = 19,952.47 : x
  2. Step 2: Convert to fraction form
    69,871.69/104,823.78 = 19,952.47/x
  3. Step 3: Cross multiply
    69,871.69x = 104,823.78 × 19,952.47
  4. Step 4: Simplify right side
    69,871.69x = 2,091,493,325.74
  5. Step 5: Solve for x
    x = 2,091,493,325.74/69,871.69
  6. Step 6: Final answer
    x = 29,933.34

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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.