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Finding the Fourth Proportional to 127,855.50, 191,819.70 and 43,634.40

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Solution

The fourth proportional to 127,855.50, 191,819.70 and 43,634.40 is: 65,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,855.50 : 191,819.70 = 43,634.40 : x
  2. Step 2: Convert to fraction form
    127,855.50/191,819.70 = 43,634.40/x
  3. Step 3: Cross multiply
    127,855.50x = 191,819.70 × 43,634.40
  4. Step 4: Simplify right side
    127,855.50x = 8,369,937,517.68
  5. Step 5: Solve for x
    x = 8,369,937,517.68/127,855.50
  6. Step 6: Final answer
    x = 65,464.04

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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.