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Finding the Fourth Proportional to 197,172, 272,077.86 and 120,712.65

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Solution

The fourth proportional to 197,172, 272,077.86 and 120,712.65 is: 166,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,172 : 272,077.86 = 120,712.65 : x
  2. Step 2: Convert to fraction form
    197,172/272,077.86 = 120,712.65/x
  3. Step 3: Cross multiply
    197,172x = 272,077.86 × 120,712.65
  4. Step 4: Simplify right side
    197,172x = 32,843,239,486.93
  5. Step 5: Solve for x
    x = 32,843,239,486.93/197,172
  6. Step 6: Final answer
    x = 166,571.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.