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Finding the Fourth Proportional to 66,311.69, 91,511.30 and 36,097.88

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Solution

The fourth proportional to 66,311.69, 91,511.30 and 36,097.88 is: 49,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,311.69 : 91,511.30 = 36,097.88 : x
  2. Step 2: Convert to fraction form
    66,311.69/91,511.30 = 36,097.88/x
  3. Step 3: Cross multiply
    66,311.69x = 91,511.30 × 36,097.88
  4. Step 4: Simplify right side
    66,311.69x = 3,303,363,926.04
  5. Step 5: Solve for x
    x = 3,303,363,926.04/66,311.69
  6. Step 6: Final answer
    x = 49,815.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.