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Finding the Fourth Proportional to 141,850.70, 195,752.71 and 77,319.95

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Solution

The fourth proportional to 141,850.70, 195,752.71 and 77,319.95 is: 106,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,850.70 : 195,752.71 = 77,319.95 : x
  2. Step 2: Convert to fraction form
    141,850.70/195,752.71 = 77,319.95/x
  3. Step 3: Cross multiply
    141,850.70x = 195,752.71 × 77,319.95
  4. Step 4: Simplify right side
    141,850.70x = 15,135,589,749.56
  5. Step 5: Solve for x
    x = 15,135,589,749.56/141,850.70
  6. Step 6: Final answer
    x = 106,700.85

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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.