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Finding the Fourth Proportional to 69,102, 103,653 and 19,854

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Solution

The fourth proportional to 69,102, 103,653 and 19,854 is: 29,781

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102 : 103,653 = 19,854 : x
  2. Step 2: Convert to fraction form
    69,102/103,653 = 19,854/x
  3. Step 3: Cross multiply
    69,102x = 103,653 × 19,854
  4. Step 4: Simplify right side
    69,102x = 2,057,926,662
  5. Step 5: Solve for x
    x = 2,057,926,662/69,102
  6. Step 6: Final answer
    x = 29,781

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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.