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Finding the Fourth Proportional to 141,843.80, 212,584.80 and 75,315.80

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Solution

The fourth proportional to 141,843.80, 212,584.80 and 75,315.80 is: 112,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,843.80 : 212,584.80 = 75,315.80 : x
  2. Step 2: Convert to fraction form
    141,843.80/212,584.80 = 75,315.80/x
  3. Step 3: Cross multiply
    141,843.80x = 212,584.80 × 75,315.80
  4. Step 4: Simplify right side
    141,843.80x = 16,010,994,279.84
  5. Step 5: Solve for x
    x = 16,010,994,279.84/141,843.80
  6. Step 6: Final answer
    x = 112,877.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.