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Finding the Fourth Proportional to 140,645.88, 194,091.60 and 76,987.74

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Solution

The fourth proportional to 140,645.88, 194,091.60 and 76,987.74 is: 106,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,645.88 : 194,091.60 = 76,987.74 : x
  2. Step 2: Convert to fraction form
    140,645.88/194,091.60 = 76,987.74/x
  3. Step 3: Cross multiply
    140,645.88x = 194,091.60 × 76,987.74
  4. Step 4: Simplify right side
    140,645.88x = 14,942,673,636.98
  5. Step 5: Solve for x
    x = 14,942,673,636.98/140,645.88
  6. Step 6: Final answer
    x = 106,243.24

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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.