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Finding the Fourth Proportional to 120,782.32, 166,687 and 69,796.86

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Solution

The fourth proportional to 120,782.32, 166,687 and 69,796.86 is: 96,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,782.32 : 166,687 = 69,796.86 : x
  2. Step 2: Convert to fraction form
    120,782.32/166,687 = 69,796.86/x
  3. Step 3: Cross multiply
    120,782.32x = 166,687 × 69,796.86
  4. Step 4: Simplify right side
    120,782.32x = 11,634,229,202.82
  5. Step 5: Solve for x
    x = 11,634,229,202.82/120,782.32
  6. Step 6: Final answer
    x = 96,323.94

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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.