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Finding the Fourth Proportional to 204,600.96, 306,943.52 and 86,272.64

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Solution

The fourth proportional to 204,600.96, 306,943.52 and 86,272.64 is: 129,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,600.96 : 306,943.52 = 86,272.64 : x
  2. Step 2: Convert to fraction form
    204,600.96/306,943.52 = 86,272.64/x
  3. Step 3: Cross multiply
    204,600.96x = 306,943.52 × 86,272.64
  4. Step 4: Simplify right side
    204,600.96x = 26,480,827,801.29
  5. Step 5: Solve for x
    x = 26,480,827,801.29/204,600.96
  6. Step 6: Final answer
    x = 129,426.70

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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.