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Finding the Fourth Proportional to 120,781.75, 166,699.32 and 69,824.02

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Solution

The fourth proportional to 120,781.75, 166,699.32 and 69,824.02 is: 96,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,781.75 : 166,699.32 = 69,824.02 : x
  2. Step 2: Convert to fraction form
    120,781.75/166,699.32 = 69,824.02/x
  3. Step 3: Cross multiply
    120,781.75x = 166,699.32 × 69,824.02
  4. Step 4: Simplify right side
    120,781.75x = 11,639,616,653.67
  5. Step 5: Solve for x
    x = 11,639,616,653.67/120,781.75
  6. Step 6: Final answer
    x = 96,369.00

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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.