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Finding the Fourth Proportional to 197,820, 272,991.60 and 108,394.08

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Solution

The fourth proportional to 197,820, 272,991.60 and 108,394.08 is: 149,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,820 : 272,991.60 = 108,394.08 : x
  2. Step 2: Convert to fraction form
    197,820/272,991.60 = 108,394.08/x
  3. Step 3: Cross multiply
    197,820x = 272,991.60 × 108,394.08
  4. Step 4: Simplify right side
    197,820x = 29,590,673,329.73
  5. Step 5: Solve for x
    x = 29,590,673,329.73/197,820
  6. Step 6: Final answer
    x = 149,583.83

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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.