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Finding the Fourth Proportional to 198,465.72, 273,883.05 and 107,820.93

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Solution

The fourth proportional to 198,465.72, 273,883.05 and 107,820.93 is: 148,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,465.72 : 273,883.05 = 107,820.93 : x
  2. Step 2: Convert to fraction form
    198,465.72/273,883.05 = 107,820.93/x
  3. Step 3: Cross multiply
    198,465.72x = 273,883.05 × 107,820.93
  4. Step 4: Simplify right side
    198,465.72x = 29,530,325,162.24
  5. Step 5: Solve for x
    x = 29,530,325,162.24/198,465.72
  6. Step 6: Final answer
    x = 148,793.08

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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.