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Finding the Fourth Proportional to 199,409.48, 299,170.76 and 81,165.68

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Solution

The fourth proportional to 199,409.48, 299,170.76 and 81,165.68 is: 121,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,409.48 : 299,170.76 = 81,165.68 : x
  2. Step 2: Convert to fraction form
    199,409.48/299,170.76 = 81,165.68/x
  3. Step 3: Cross multiply
    199,409.48x = 299,170.76 × 81,165.68
  4. Step 4: Simplify right side
    199,409.48x = 24,282,398,171.52
  5. Step 5: Solve for x
    x = 24,282,398,171.52/199,409.48
  6. Step 6: Final answer
    x = 121,771.53

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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.