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Finding the Fourth Proportional to 141,675, 195,511.50 and 78,012.66

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Solution

The fourth proportional to 141,675, 195,511.50 and 78,012.66 is: 107,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,675 : 195,511.50 = 78,012.66 : x
  2. Step 2: Convert to fraction form
    141,675/195,511.50 = 78,012.66/x
  3. Step 3: Cross multiply
    141,675x = 195,511.50 × 78,012.66
  4. Step 4: Simplify right side
    141,675x = 15,252,372,175.59
  5. Step 5: Solve for x
    x = 15,252,372,175.59/141,675
  6. Step 6: Final answer
    x = 107,657.47

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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.