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Finding the Fourth Proportional to 120,980.73, 166,905.43 and 69,984

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Solution

The fourth proportional to 120,980.73, 166,905.43 and 69,984 is: 96,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.73 : 166,905.43 = 69,984 : x
  2. Step 2: Convert to fraction form
    120,980.73/166,905.43 = 69,984/x
  3. Step 3: Cross multiply
    120,980.73x = 166,905.43 × 69,984
  4. Step 4: Simplify right side
    120,980.73x = 11,680,709,613.12
  5. Step 5: Solve for x
    x = 11,680,709,613.12/120,980.73
  6. Step 6: Final answer
    x = 96,550.17

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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.