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Finding the Fourth Proportional to 120,891.30, 166,782.24 and 69,894.69

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Solution

The fourth proportional to 120,891.30, 166,782.24 and 69,894.69 is: 96,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,891.30 : 166,782.24 = 69,894.69 : x
  2. Step 2: Convert to fraction form
    120,891.30/166,782.24 = 69,894.69/x
  3. Step 3: Cross multiply
    120,891.30x = 166,782.24 × 69,894.69
  4. Step 4: Simplify right side
    120,891.30x = 11,657,192,962.31
  5. Step 5: Solve for x
    x = 11,657,192,962.31/120,891.30
  6. Step 6: Final answer
    x = 96,427.06

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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.