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Finding the Fourth Proportional to 141,677, 195,514.26 and 78,014.66

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Solution

The fourth proportional to 141,677, 195,514.26 and 78,014.66 is: 107,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,677 : 195,514.26 = 78,014.66 : x
  2. Step 2: Convert to fraction form
    141,677/195,514.26 = 78,014.66/x
  3. Step 3: Cross multiply
    141,677x = 195,514.26 × 78,014.66
  4. Step 4: Simplify right side
    141,677x = 15,252,978,519.05
  5. Step 5: Solve for x
    x = 15,252,978,519.05/141,677
  6. Step 6: Final answer
    x = 107,660.23

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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.