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Finding the Fourth Proportional to 120,698.43, 166,525.30 and 69,704.43

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Solution

The fourth proportional to 120,698.43, 166,525.30 and 69,704.43 is: 96,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,698.43 : 166,525.30 = 69,704.43 : x
  2. Step 2: Convert to fraction form
    120,698.43/166,525.30 = 69,704.43/x
  3. Step 3: Cross multiply
    120,698.43x = 166,525.30 × 69,704.43
  4. Step 4: Simplify right side
    120,698.43x = 11,607,551,117.08
  5. Step 5: Solve for x
    x = 11,607,551,117.08/120,698.43
  6. Step 6: Final answer
    x = 96,169.86

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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.