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Finding the Fourth Proportional to 221,082.08, 305,093.28 and 120,480

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Solution

The fourth proportional to 221,082.08, 305,093.28 and 120,480 is: 166,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,082.08 : 305,093.28 = 120,480 : x
  2. Step 2: Convert to fraction form
    221,082.08/305,093.28 = 120,480/x
  3. Step 3: Cross multiply
    221,082.08x = 305,093.28 × 120,480
  4. Step 4: Simplify right side
    221,082.08x = 36,757,638,374.40
  5. Step 5: Solve for x
    x = 36,757,638,374.40/221,082.08
  6. Step 6: Final answer
    x = 166,262.41

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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.