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Finding the Fourth Proportional to 194,955.76, 269,039.79 and 105,531.76

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Solution

The fourth proportional to 194,955.76, 269,039.79 and 105,531.76 is: 145,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,955.76 : 269,039.79 = 105,531.76 : x
  2. Step 2: Convert to fraction form
    194,955.76/269,039.79 = 105,531.76/x
  3. Step 3: Cross multiply
    194,955.76x = 269,039.79 × 105,531.76
  4. Step 4: Simplify right side
    194,955.76x = 28,392,242,548.73
  5. Step 5: Solve for x
    x = 28,392,242,548.73/194,955.76
  6. Step 6: Final answer
    x = 145,634.28

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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.