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Finding the Fourth Proportional to 221,083.08, 305,094.66 and 120,481

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Solution

The fourth proportional to 221,083.08, 305,094.66 and 120,481 is: 166,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,083.08 : 305,094.66 = 120,481 : x
  2. Step 2: Convert to fraction form
    221,083.08/305,094.66 = 120,481/x
  3. Step 3: Cross multiply
    221,083.08x = 305,094.66 × 120,481
  4. Step 4: Simplify right side
    221,083.08x = 36,758,109,731.46
  5. Step 5: Solve for x
    x = 36,758,109,731.46/221,083.08
  6. Step 6: Final answer
    x = 166,263.79

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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.