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Finding the Fourth Proportional to 221,076, 305,087.04 and 120,476.16

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Solution

The fourth proportional to 221,076, 305,087.04 and 120,476.16 is: 166,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,076 : 305,087.04 = 120,476.16 : x
  2. Step 2: Convert to fraction form
    221,076/305,087.04 = 120,476.16/x
  3. Step 3: Cross multiply
    221,076x = 305,087.04 × 120,476.16
  4. Step 4: Simplify right side
    221,076x = 36,755,715,044.97
  5. Step 5: Solve for x
    x = 36,755,715,044.97/221,076
  6. Step 6: Final answer
    x = 166,258.28

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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.