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Finding the Fourth Proportional to 140,645.91, 194,091.57 and 76,987.74

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Solution

The fourth proportional to 140,645.91, 194,091.57 and 76,987.74 is: 106,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,645.91 : 194,091.57 = 76,987.74 : x
  2. Step 2: Convert to fraction form
    140,645.91/194,091.57 = 76,987.74/x
  3. Step 3: Cross multiply
    140,645.91x = 194,091.57 × 76,987.74
  4. Step 4: Simplify right side
    140,645.91x = 14,942,671,327.35
  5. Step 5: Solve for x
    x = 14,942,671,327.35/140,645.91
  6. Step 6: Final answer
    x = 106,243.20

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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.