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Finding the Fourth Proportional to 120,767.22, 166,666.31 and 69,789.32

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Solution

The fourth proportional to 120,767.22, 166,666.31 and 69,789.32 is: 96,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,767.22 : 166,666.31 = 69,789.32 : x
  2. Step 2: Convert to fraction form
    120,767.22/166,666.31 = 69,789.32/x
  3. Step 3: Cross multiply
    120,767.22x = 166,666.31 × 69,789.32
  4. Step 4: Simplify right side
    120,767.22x = 11,631,528,146.24
  5. Step 5: Solve for x
    x = 11,631,528,146.24/120,767.22
  6. Step 6: Final answer
    x = 96,313.62

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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.