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Finding the Fourth Proportional to 197,578, 272,661.96 and 108,154

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Solution

The fourth proportional to 197,578, 272,661.96 and 108,154 is: 149,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,578 : 272,661.96 = 108,154 : x
  2. Step 2: Convert to fraction form
    197,578/272,661.96 = 108,154/x
  3. Step 3: Cross multiply
    197,578x = 272,661.96 × 108,154
  4. Step 4: Simplify right side
    197,578x = 29,489,481,621.84
  5. Step 5: Solve for x
    x = 29,489,481,621.84/197,578
  6. Step 6: Final answer
    x = 149,254.88

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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.