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Finding the Fourth Proportional to 142,570.54, 196,733.99 and 85,198.44

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Solution

The fourth proportional to 142,570.54, 196,733.99 and 85,198.44 is: 117,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,570.54 : 196,733.99 = 85,198.44 : x
  2. Step 2: Convert to fraction form
    142,570.54/196,733.99 = 85,198.44/x
  3. Step 3: Cross multiply
    142,570.54x = 196,733.99 × 85,198.44
  4. Step 4: Simplify right side
    142,570.54x = 16,761,428,829.98
  5. Step 5: Solve for x
    x = 16,761,428,829.98/142,570.54
  6. Step 6: Final answer
    x = 117,565.86

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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.