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Finding the Fourth Proportional to 199,682.40, 299,377.80 and 81,292.80

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Solution

The fourth proportional to 199,682.40, 299,377.80 and 81,292.80 is: 121,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,682.40 : 299,377.80 = 81,292.80 : x
  2. Step 2: Convert to fraction form
    199,682.40/299,377.80 = 81,292.80/x
  3. Step 3: Cross multiply
    199,682.40x = 299,377.80 × 81,292.80
  4. Step 4: Simplify right side
    199,682.40x = 24,337,259,619.84
  5. Step 5: Solve for x
    x = 24,337,259,619.84/199,682.40
  6. Step 6: Final answer
    x = 121,879.84

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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.