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Finding the Fourth Proportional to 221,506.59, 305,679.09 and 120,904.59

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Solution

The fourth proportional to 221,506.59, 305,679.09 and 120,904.59 is: 166,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,506.59 : 305,679.09 = 120,904.59 : x
  2. Step 2: Convert to fraction form
    221,506.59/305,679.09 = 120,904.59/x
  3. Step 3: Cross multiply
    221,506.59x = 305,679.09 × 120,904.59
  4. Step 4: Simplify right side
    221,506.59x = 36,958,005,048.02
  5. Step 5: Solve for x
    x = 36,958,005,048.02/221,506.59
  6. Step 6: Final answer
    x = 166,848.33

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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.