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Finding the Fourth Proportional to 66,193.11, 91,347.11 and 35,978.50

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Solution

The fourth proportional to 66,193.11, 91,347.11 and 35,978.50 is: 49,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,193.11 : 91,347.11 = 35,978.50 : x
  2. Step 2: Convert to fraction form
    66,193.11/91,347.11 = 35,978.50/x
  3. Step 3: Cross multiply
    66,193.11x = 91,347.11 × 35,978.50
  4. Step 4: Simplify right side
    66,193.11x = 3,286,531,997.14
  5. Step 5: Solve for x
    x = 3,286,531,997.14/66,193.11
  6. Step 6: Final answer
    x = 49,650.67

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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.