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Finding the Fourth Proportional to 199,282.47, 298,994.99 and 85,382.43

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Solution

The fourth proportional to 199,282.47, 298,994.99 and 85,382.43 is: 128,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,282.47 : 298,994.99 = 85,382.43 : x
  2. Step 2: Convert to fraction form
    199,282.47/298,994.99 = 85,382.43/x
  3. Step 3: Cross multiply
    199,282.47x = 298,994.99 × 85,382.43
  4. Step 4: Simplify right side
    199,282.47x = 25,528,918,804.03
  5. Step 5: Solve for x
    x = 25,528,918,804.03/199,282.47
  6. Step 6: Final answer
    x = 128,104.19

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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.