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Finding the Fourth Proportional to 199,857.61, 275,804.27 and 109,213.62

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Solution

The fourth proportional to 199,857.61, 275,804.27 and 109,213.62 is: 150,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,857.61 : 275,804.27 = 109,213.62 : x
  2. Step 2: Convert to fraction form
    199,857.61/275,804.27 = 109,213.62/x
  3. Step 3: Cross multiply
    199,857.61x = 275,804.27 × 109,213.62
  4. Step 4: Simplify right side
    199,857.61x = 30,121,582,738.16
  5. Step 5: Solve for x
    x = 30,121,582,738.16/199,857.61
  6. Step 6: Final answer
    x = 150,715.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.