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Finding the Fourth Proportional to 120,814.30, 166,745.46 and 69,820.03

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Solution

The fourth proportional to 120,814.30, 166,745.46 and 69,820.03 is: 96,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,814.30 : 166,745.46 = 69,820.03 : x
  2. Step 2: Convert to fraction form
    120,814.30/166,745.46 = 69,820.03/x
  3. Step 3: Cross multiply
    120,814.30x = 166,745.46 × 69,820.03
  4. Step 4: Simplify right side
    120,814.30x = 11,642,173,019.56
  5. Step 5: Solve for x
    x = 11,642,173,019.56/120,814.30
  6. Step 6: Final answer
    x = 96,364.20

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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.