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Finding the Fourth Proportional to 141,757.85, 212,800.80 and 81,834.05

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Solution

The fourth proportional to 141,757.85, 212,800.80 and 81,834.05 is: 122,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,757.85 : 212,800.80 = 81,834.05 : x
  2. Step 2: Convert to fraction form
    141,757.85/212,800.80 = 81,834.05/x
  3. Step 3: Cross multiply
    141,757.85x = 212,800.80 × 81,834.05
  4. Step 4: Simplify right side
    141,757.85x = 17,414,351,307.24
  5. Step 5: Solve for x
    x = 17,414,351,307.24/141,757.85
  6. Step 6: Final answer
    x = 122,845.76

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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.