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Finding the Fourth Proportional to 199,905, 299,857.55 and 52,161

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Solution

The fourth proportional to 199,905, 299,857.55 and 52,161 is: 78,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,905 : 299,857.55 = 52,161 : x
  2. Step 2: Convert to fraction form
    199,905/299,857.55 = 52,161/x
  3. Step 3: Cross multiply
    199,905x = 299,857.55 × 52,161
  4. Step 4: Simplify right side
    199,905x = 15,640,869,404.75
  5. Step 5: Solve for x
    x = 15,640,869,404.75/199,905
  6. Step 6: Final answer
    x = 78,241.51

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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.