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Finding the Fourth Proportional to 120,969, 166,937.22 and 67,977

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Solution

The fourth proportional to 120,969, 166,937.22 and 67,977 is: 93,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,969 : 166,937.22 = 67,977 : x
  2. Step 2: Convert to fraction form
    120,969/166,937.22 = 67,977/x
  3. Step 3: Cross multiply
    120,969x = 166,937.22 × 67,977
  4. Step 4: Simplify right side
    120,969x = 11,347,891,403.94
  5. Step 5: Solve for x
    x = 11,347,891,403.94/120,969
  6. Step 6: Final answer
    x = 93,808.26

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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.