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Finding the Fourth Proportional to 120,840.48, 166,781.52 and 69,846

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Solution

The fourth proportional to 120,840.48, 166,781.52 and 69,846 is: 96,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,840.48 : 166,781.52 = 69,846 : x
  2. Step 2: Convert to fraction form
    120,840.48/166,781.52 = 69,846/x
  3. Step 3: Cross multiply
    120,840.48x = 166,781.52 × 69,846
  4. Step 4: Simplify right side
    120,840.48x = 11,649,022,045.92
  5. Step 5: Solve for x
    x = 11,649,022,045.92/120,840.48
  6. Step 6: Final answer
    x = 96,400.00

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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.