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Finding the Fourth Proportional to 238,191.94, 356,820.80 and 138,141.95

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Solution

The fourth proportional to 238,191.94, 356,820.80 and 138,141.95 is: 206,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,191.94 : 356,820.80 = 138,141.95 : x
  2. Step 2: Convert to fraction form
    238,191.94/356,820.80 = 138,141.95/x
  3. Step 3: Cross multiply
    238,191.94x = 356,820.80 × 138,141.95
  4. Step 4: Simplify right side
    238,191.94x = 49,291,921,112.56
  5. Step 5: Solve for x
    x = 49,291,921,112.56/238,191.94
  6. Step 6: Final answer
    x = 206,942.02

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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.