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Finding the Fourth Proportional to 221,122.88, 305,193.12 and 154,016

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Solution

The fourth proportional to 221,122.88, 305,193.12 and 154,016 is: 212,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,122.88 : 305,193.12 = 154,016 : x
  2. Step 2: Convert to fraction form
    221,122.88/305,193.12 = 154,016/x
  3. Step 3: Cross multiply
    221,122.88x = 305,193.12 × 154,016
  4. Step 4: Simplify right side
    221,122.88x = 47,004,623,569.92
  5. Step 5: Solve for x
    x = 47,004,623,569.92/221,122.88
  6. Step 6: Final answer
    x = 212,572.41

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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.