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Finding the Fourth Proportional to 69,314.61, 103,955.93 and 19,398.23

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Solution

The fourth proportional to 69,314.61, 103,955.93 and 19,398.23 is: 29,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,314.61 : 103,955.93 = 19,398.23 : x
  2. Step 2: Convert to fraction form
    69,314.61/103,955.93 = 19,398.23/x
  3. Step 3: Cross multiply
    69,314.61x = 103,955.93 × 19,398.23
  4. Step 4: Simplify right side
    69,314.61x = 2,016,561,525.12
  5. Step 5: Solve for x
    x = 2,016,561,525.12/69,314.61
  6. Step 6: Final answer
    x = 29,092.88

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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.