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Finding the Fourth Proportional to 76,841.64, 115,206.46 and 51,819.52

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Solution

The fourth proportional to 76,841.64, 115,206.46 and 51,819.52 is: 77,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.64 : 115,206.46 = 51,819.52 : x
  2. Step 2: Convert to fraction form
    76,841.64/115,206.46 = 51,819.52/x
  3. Step 3: Cross multiply
    76,841.64x = 115,206.46 × 51,819.52
  4. Step 4: Simplify right side
    76,841.64x = 5,969,943,458.10
  5. Step 5: Solve for x
    x = 5,969,943,458.10/76,841.64
  6. Step 6: Final answer
    x = 77,691.52

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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.