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Finding the Fourth Proportional to 141,955.56, 195,896.34 and 78,299.28

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Solution

The fourth proportional to 141,955.56, 195,896.34 and 78,299.28 is: 108,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,955.56 : 195,896.34 = 78,299.28 : x
  2. Step 2: Convert to fraction form
    141,955.56/195,896.34 = 78,299.28/x
  3. Step 3: Cross multiply
    141,955.56x = 195,896.34 × 78,299.28
  4. Step 4: Simplify right side
    141,955.56x = 15,338,542,376.64
  5. Step 5: Solve for x
    x = 15,338,542,376.64/141,955.56
  6. Step 6: Final answer
    x = 108,051.72

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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.