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Finding the Fourth Proportional to 221,584.76, 305,782.81 and 135,537.42

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Solution

The fourth proportional to 221,584.76, 305,782.81 and 135,537.42 is: 187,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,584.76 : 305,782.81 = 135,537.42 : x
  2. Step 2: Convert to fraction form
    221,584.76/305,782.81 = 135,537.42/x
  3. Step 3: Cross multiply
    221,584.76x = 305,782.81 × 135,537.42
  4. Step 4: Simplify right side
    221,584.76x = 41,445,013,147.75
  5. Step 5: Solve for x
    x = 41,445,013,147.75/221,584.76
  6. Step 6: Final answer
    x = 187,039.10

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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.