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Finding the Fourth Proportional to 221,679, 305,918.64 and 121,077

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Solution

The fourth proportional to 221,679, 305,918.64 and 121,077 is: 167,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,679 : 305,918.64 = 121,077 : x
  2. Step 2: Convert to fraction form
    221,679/305,918.64 = 121,077/x
  3. Step 3: Cross multiply
    221,679x = 305,918.64 × 121,077
  4. Step 4: Simplify right side
    221,679x = 37,039,711,175.28
  5. Step 5: Solve for x
    x = 37,039,711,175.28/221,679
  6. Step 6: Final answer
    x = 167,087.14

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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.