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Finding the Fourth Proportional to 66,808.26, 100,238.31 and 25,258.50

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Solution

The fourth proportional to 66,808.26, 100,238.31 and 25,258.50 is: 37,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,808.26 : 100,238.31 = 25,258.50 : x
  2. Step 2: Convert to fraction form
    66,808.26/100,238.31 = 25,258.50/x
  3. Step 3: Cross multiply
    66,808.26x = 100,238.31 × 25,258.50
  4. Step 4: Simplify right side
    66,808.26x = 2,531,869,353.14
  5. Step 5: Solve for x
    x = 2,531,869,353.14/66,808.26
  6. Step 6: Final answer
    x = 37,897.55

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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.