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Finding the Fourth Proportional to 221,109.72, 305,093.16 and 130,458.84

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Solution

The fourth proportional to 221,109.72, 305,093.16 and 130,458.84 is: 180,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,109.72 : 305,093.16 = 130,458.84 : x
  2. Step 2: Convert to fraction form
    221,109.72/305,093.16 = 130,458.84/x
  3. Step 3: Cross multiply
    221,109.72x = 305,093.16 × 130,458.84
  4. Step 4: Simplify right side
    221,109.72x = 39,802,099,745.53
  5. Step 5: Solve for x
    x = 39,802,099,745.53/221,109.72
  6. Step 6: Final answer
    x = 180,010.63

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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.