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Finding the Fourth Proportional to 281,395.84, 422,099.16 and 103,811.44

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Solution

The fourth proportional to 281,395.84, 422,099.16 and 103,811.44 is: 155,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,395.84 : 422,099.16 = 103,811.44 : x
  2. Step 2: Convert to fraction form
    281,395.84/422,099.16 = 103,811.44/x
  3. Step 3: Cross multiply
    281,395.84x = 422,099.16 × 103,811.44
  4. Step 4: Simplify right side
    281,395.84x = 43,818,721,622.39
  5. Step 5: Solve for x
    x = 43,818,721,622.39/281,395.84
  6. Step 6: Final answer
    x = 155,719.15

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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.