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Finding the Fourth Proportional to 120,291, 166,004 and 66,574.64

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Solution

The fourth proportional to 120,291, 166,004 and 66,574.64 is: 91,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,291 : 166,004 = 66,574.64 : x
  2. Step 2: Convert to fraction form
    120,291/166,004 = 66,574.64/x
  3. Step 3: Cross multiply
    120,291x = 166,004 × 66,574.64
  4. Step 4: Simplify right side
    120,291x = 11,051,656,538.56
  5. Step 5: Solve for x
    x = 11,051,656,538.56/120,291
  6. Step 6: Final answer
    x = 91,874.34

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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.