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Finding the Fourth Proportional to 120,612, 166,443.44 and 66,897.12

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Solution

The fourth proportional to 120,612, 166,443.44 and 66,897.12 is: 92,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,612 : 166,443.44 = 66,897.12 : x
  2. Step 2: Convert to fraction form
    120,612/166,443.44 = 66,897.12/x
  3. Step 3: Cross multiply
    120,612x = 166,443.44 × 66,897.12
  4. Step 4: Simplify right side
    120,612x = 11,134,586,778.89
  5. Step 5: Solve for x
    x = 11,134,586,778.89/120,612
  6. Step 6: Final answer
    x = 92,317.40

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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.