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Finding the Fourth Proportional to 120,830.67, 166,741.68 and 67,119.12

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Solution

The fourth proportional to 120,830.67, 166,741.68 and 67,119.12 is: 92,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830.67 : 166,741.68 = 67,119.12 : x
  2. Step 2: Convert to fraction form
    120,830.67/166,741.68 = 67,119.12/x
  3. Step 3: Cross multiply
    120,830.67x = 166,741.68 × 67,119.12
  4. Step 4: Simplify right side
    120,830.67x = 11,191,554,828.92
  5. Step 5: Solve for x
    x = 11,191,554,828.92/120,830.67
  6. Step 6: Final answer
    x = 92,621.81

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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.