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Finding the Fourth Proportional to 204,149.94, 306,156.87 and 85,799.22

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Solution

The fourth proportional to 204,149.94, 306,156.87 and 85,799.22 is: 128,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,149.94 : 306,156.87 = 85,799.22 : x
  2. Step 2: Convert to fraction form
    204,149.94/306,156.87 = 85,799.22/x
  3. Step 3: Cross multiply
    204,149.94x = 306,156.87 × 85,799.22
  4. Step 4: Simplify right side
    204,149.94x = 26,268,020,643.64
  5. Step 5: Solve for x
    x = 26,268,020,643.64/204,149.94
  6. Step 6: Final answer
    x = 128,670.23

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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.