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Finding the Fourth Proportional to 199,902.96, 299,705.94 and 120,998.70

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Solution

The fourth proportional to 199,902.96, 299,705.94 and 120,998.70 is: 181,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,902.96 : 299,705.94 = 120,998.70 : x
  2. Step 2: Convert to fraction form
    199,902.96/299,705.94 = 120,998.70/x
  3. Step 3: Cross multiply
    199,902.96x = 299,705.94 × 120,998.70
  4. Step 4: Simplify right side
    199,902.96x = 36,264,029,122.28
  5. Step 5: Solve for x
    x = 36,264,029,122.28/199,902.96
  6. Step 6: Final answer
    x = 181,408.16

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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.