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Finding the Fourth Proportional to 120,410.42, 166,165.44 and 66,698.78

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Solution

The fourth proportional to 120,410.42, 166,165.44 and 66,698.78 is: 92,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410.42 : 166,165.44 = 66,698.78 : x
  2. Step 2: Convert to fraction form
    120,410.42/166,165.44 = 66,698.78/x
  3. Step 3: Cross multiply
    120,410.42x = 166,165.44 × 66,698.78
  4. Step 4: Simplify right side
    120,410.42x = 11,083,032,126.16
  5. Step 5: Solve for x
    x = 11,083,032,126.16/120,410.42
  6. Step 6: Final answer
    x = 92,043.80

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1.5x scale

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.