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Finding the Fourth Proportional to 204,617.12, 306,926.28 and 71,497.40

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Solution

The fourth proportional to 204,617.12, 306,926.28 and 71,497.40 is: 107,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,617.12 : 306,926.28 = 71,497.40 : x
  2. Step 2: Convert to fraction form
    204,617.12/306,926.28 = 71,497.40/x
  3. Step 3: Cross multiply
    204,617.12x = 306,926.28 × 71,497.40
  4. Step 4: Simplify right side
    204,617.12x = 21,944,429,477.04
  5. Step 5: Solve for x
    x = 21,944,429,477.04/204,617.12
  6. Step 6: Final answer
    x = 107,246.30

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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.