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Finding the Fourth Proportional to 66,314.81, 91,511.63 and 36,099.50

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Solution

The fourth proportional to 66,314.81, 91,511.63 and 36,099.50 is: 49,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,314.81 : 91,511.63 = 36,099.50 : x
  2. Step 2: Convert to fraction form
    66,314.81/91,511.63 = 36,099.50/x
  3. Step 3: Cross multiply
    66,314.81x = 91,511.63 × 36,099.50
  4. Step 4: Simplify right side
    66,314.81x = 3,303,524,087.19
  5. Step 5: Solve for x
    x = 3,303,524,087.19/66,314.81
  6. Step 6: Final answer
    x = 49,815.79

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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.