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Finding the Fourth Proportional to 242,904.45, 363,864.60 and 137,600.40

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Solution

The fourth proportional to 242,904.45, 363,864.60 and 137,600.40 is: 206,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,904.45 : 363,864.60 = 137,600.40 : x
  2. Step 2: Convert to fraction form
    242,904.45/363,864.60 = 137,600.40/x
  3. Step 3: Cross multiply
    242,904.45x = 363,864.60 × 137,600.40
  4. Step 4: Simplify right side
    242,904.45x = 50,067,914,505.84
  5. Step 5: Solve for x
    x = 50,067,914,505.84/242,904.45
  6. Step 6: Final answer
    x = 206,121.85

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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.