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Finding the Fourth Proportional to 238,196.94, 356,828.30 and 138,146.96

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Solution

The fourth proportional to 238,196.94, 356,828.30 and 138,146.96 is: 206,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,196.94 : 356,828.30 = 138,146.96 : x
  2. Step 2: Convert to fraction form
    238,196.94/356,828.30 = 138,146.96/x
  3. Step 3: Cross multiply
    238,196.94x = 356,828.30 × 138,146.96
  4. Step 4: Simplify right side
    238,196.94x = 49,294,744,886.97
  5. Step 5: Solve for x
    x = 49,294,744,886.97/238,196.94
  6. Step 6: Final answer
    x = 206,949.53

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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.