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Finding the Fourth Proportional to 69,838.68, 104,758.48 and 19,918.64

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Solution

The fourth proportional to 69,838.68, 104,758.48 and 19,918.64 is: 29,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.68 : 104,758.48 = 19,918.64 : x
  2. Step 2: Convert to fraction form
    69,838.68/104,758.48 = 19,918.64/x
  3. Step 3: Cross multiply
    69,838.68x = 104,758.48 × 19,918.64
  4. Step 4: Simplify right side
    69,838.68x = 2,086,646,450.07
  5. Step 5: Solve for x
    x = 2,086,646,450.07/69,838.68
  6. Step 6: Final answer
    x = 29,878.09

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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.