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Finding the Fourth Proportional to 143,287.76, 215,097.70 and 76,857.64

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Solution

The fourth proportional to 143,287.76, 215,097.70 and 76,857.64 is: 115,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,287.76 : 215,097.70 = 76,857.64 : x
  2. Step 2: Convert to fraction form
    143,287.76/215,097.70 = 76,857.64/x
  3. Step 3: Cross multiply
    143,287.76x = 215,097.70 × 76,857.64
  4. Step 4: Simplify right side
    143,287.76x = 16,531,901,591.43
  5. Step 5: Solve for x
    x = 16,531,901,591.43/143,287.76
  6. Step 6: Final answer
    x = 115,375.53

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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.