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Finding the Fourth Proportional to 157,942.01, 217,410.73 and 137,763.74

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Solution

The fourth proportional to 157,942.01, 217,410.73 and 137,763.74 is: 189,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,942.01 : 217,410.73 = 137,763.74 : x
  2. Step 2: Convert to fraction form
    157,942.01/217,410.73 = 137,763.74/x
  3. Step 3: Cross multiply
    157,942.01x = 217,410.73 × 137,763.74
  4. Step 4: Simplify right side
    157,942.01x = 29,951,315,480.05
  5. Step 5: Solve for x
    x = 29,951,315,480.05/157,942.01
  6. Step 6: Final answer
    x = 189,634.89

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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.