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Finding the Fourth Proportional to 197,137, 272,055.78 and 107,718.76

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Solution

The fourth proportional to 197,137, 272,055.78 and 107,718.76 is: 148,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,137 : 272,055.78 = 107,718.76 : x
  2. Step 2: Convert to fraction form
    197,137/272,055.78 = 107,718.76/x
  3. Step 3: Cross multiply
    197,137x = 272,055.78 × 107,718.76
  4. Step 4: Simplify right side
    197,137x = 29,305,511,272.43
  5. Step 5: Solve for x
    x = 29,305,511,272.43/197,137
  6. Step 6: Final answer
    x = 148,655.56

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1.5x scale

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.