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Finding the Fourth Proportional to 141,742, 195,601.86 and 78,079.84

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Solution

The fourth proportional to 141,742, 195,601.86 and 78,079.84 is: 107,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,742 : 195,601.86 = 78,079.84 : x
  2. Step 2: Convert to fraction form
    141,742/195,601.86 = 78,079.84/x
  3. Step 3: Cross multiply
    141,742x = 195,601.86 × 78,079.84
  4. Step 4: Simplify right side
    141,742x = 15,272,561,932.50
  5. Step 5: Solve for x
    x = 15,272,561,932.50/141,742
  6. Step 6: Final answer
    x = 107,749.02

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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.