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Finding the Fourth Proportional to 66,726, 92,098.28 and 38,448.09

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Solution

The fourth proportional to 66,726, 92,098.28 and 38,448.09 is: 53,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,726 : 92,098.28 = 38,448.09 : x
  2. Step 2: Convert to fraction form
    66,726/92,098.28 = 38,448.09/x
  3. Step 3: Cross multiply
    66,726x = 92,098.28 × 38,448.09
  4. Step 4: Simplify right side
    66,726x = 3,541,003,054.41
  5. Step 5: Solve for x
    x = 3,541,003,054.41/66,726
  6. Step 6: Final answer
    x = 53,067.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.