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Finding the Fourth Proportional to 221,786.90, 305,959.22 and 145,272.88

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Solution

The fourth proportional to 221,786.90, 305,959.22 and 145,272.88 is: 200,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,786.90 : 305,959.22 = 145,272.88 : x
  2. Step 2: Convert to fraction form
    221,786.90/305,959.22 = 145,272.88/x
  3. Step 3: Cross multiply
    221,786.90x = 305,959.22 × 145,272.88
  4. Step 4: Simplify right side
    221,786.90x = 44,447,575,522.16
  5. Step 5: Solve for x
    x = 44,447,575,522.16/221,786.90
  6. Step 6: Final answer
    x = 200,406.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.