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Finding the Fourth Proportional to 201,619.21, 302,429.60 and 81,678.43

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Solution

The fourth proportional to 201,619.21, 302,429.60 and 81,678.43 is: 122,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,619.21 : 302,429.60 = 81,678.43 : x
  2. Step 2: Convert to fraction form
    201,619.21/302,429.60 = 81,678.43/x
  3. Step 3: Cross multiply
    201,619.21x = 302,429.60 × 81,678.43
  4. Step 4: Simplify right side
    201,619.21x = 24,701,973,718.02
  5. Step 5: Solve for x
    x = 24,701,973,718.02/201,619.21
  6. Step 6: Final answer
    x = 122,517.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.