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Finding the Fourth Proportional to 221,266.07, 305,346.75 and 120,664.07

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Solution

The fourth proportional to 221,266.07, 305,346.75 and 120,664.07 is: 166,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,266.07 : 305,346.75 = 120,664.07 : x
  2. Step 2: Convert to fraction form
    221,266.07/305,346.75 = 120,664.07/x
  3. Step 3: Cross multiply
    221,266.07x = 305,346.75 × 120,664.07
  4. Step 4: Simplify right side
    221,266.07x = 36,844,381,616.27
  5. Step 5: Solve for x
    x = 36,844,381,616.27/221,266.07
  6. Step 6: Final answer
    x = 166,516.18

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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.