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Finding the Fourth Proportional to 193,093.20, 289,639.80 and 161,989.20

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Solution

The fourth proportional to 193,093.20, 289,639.80 and 161,989.20 is: 242,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,093.20 : 289,639.80 = 161,989.20 : x
  2. Step 2: Convert to fraction form
    193,093.20/289,639.80 = 161,989.20/x
  3. Step 3: Cross multiply
    193,093.20x = 289,639.80 × 161,989.20
  4. Step 4: Simplify right side
    193,093.20x = 46,918,519,490.16
  5. Step 5: Solve for x
    x = 46,918,519,490.16/193,093.20
  6. Step 6: Final answer
    x = 242,983.80

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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.