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Finding the Fourth Proportional to 281,729.53, 422,588.12 and 68,498.60

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Solution

The fourth proportional to 281,729.53, 422,588.12 and 68,498.60 is: 102,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,729.53 : 422,588.12 = 68,498.60 : x
  2. Step 2: Convert to fraction form
    281,729.53/422,588.12 = 68,498.60/x
  3. Step 3: Cross multiply
    281,729.53x = 422,588.12 × 68,498.60
  4. Step 4: Simplify right side
    281,729.53x = 28,946,694,596.63
  5. Step 5: Solve for x
    x = 28,946,694,596.63/281,729.53
  6. Step 6: Final answer
    x = 102,746.40

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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.