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Finding the Fourth Proportional to 141,251.70, 194,928.72 and 77,589.50

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Solution

The fourth proportional to 141,251.70, 194,928.72 and 77,589.50 is: 107,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,251.70 : 194,928.72 = 77,589.50 : x
  2. Step 2: Convert to fraction form
    141,251.70/194,928.72 = 77,589.50/x
  3. Step 3: Cross multiply
    141,251.70x = 194,928.72 × 77,589.50
  4. Step 4: Simplify right side
    141,251.70x = 15,124,421,920.44
  5. Step 5: Solve for x
    x = 15,124,421,920.44/141,251.70
  6. Step 6: Final answer
    x = 107,074.26

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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.