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Finding the Fourth Proportional to 238,310.25, 357,371.91 and 86,471.25

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Solution

The fourth proportional to 238,310.25, 357,371.91 and 86,471.25 is: 129,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,310.25 : 357,371.91 = 86,471.25 : x
  2. Step 2: Convert to fraction form
    238,310.25/357,371.91 = 86,471.25/x
  3. Step 3: Cross multiply
    238,310.25x = 357,371.91 × 86,471.25
  4. Step 4: Simplify right side
    238,310.25x = 30,902,395,772.59
  5. Step 5: Solve for x
    x = 30,902,395,772.59/238,310.25
  6. Step 6: Final answer
    x = 129,672.96

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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.