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Finding the Fourth Proportional to 197,473.72, 272,515.02 and 120,992.98

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Solution

The fourth proportional to 197,473.72, 272,515.02 and 120,992.98 is: 166,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,473.72 : 272,515.02 = 120,992.98 : x
  2. Step 2: Convert to fraction form
    197,473.72/272,515.02 = 120,992.98/x
  3. Step 3: Cross multiply
    197,473.72x = 272,515.02 × 120,992.98
  4. Step 4: Simplify right side
    197,473.72x = 32,972,404,364.56
  5. Step 5: Solve for x
    x = 32,972,404,364.56/197,473.72
  6. Step 6: Final answer
    x = 166,971.10

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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.