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Finding the Fourth Proportional to 120,477, 166,261.91 and 66,756.99

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Solution

The fourth proportional to 120,477, 166,261.91 and 66,756.99 is: 92,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,477 : 166,261.91 = 66,756.99 : x
  2. Step 2: Convert to fraction form
    120,477/166,261.91 = 66,756.99/x
  3. Step 3: Cross multiply
    120,477x = 166,261.91 × 66,756.99
  4. Step 4: Simplify right side
    120,477x = 11,099,144,329.47
  5. Step 5: Solve for x
    x = 11,099,144,329.47/120,477
  6. Step 6: Final answer
    x = 92,126.67

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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.