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Finding the Fourth Proportional to 197,644.71, 272,751.87 and 107,002.61

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Solution

The fourth proportional to 197,644.71, 272,751.87 and 107,002.61 is: 147,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,644.71 : 272,751.87 = 107,002.61 : x
  2. Step 2: Convert to fraction form
    197,644.71/272,751.87 = 107,002.61/x
  3. Step 3: Cross multiply
    197,644.71x = 272,751.87 × 107,002.61
  4. Step 4: Simplify right side
    197,644.71x = 29,185,161,972.38
  5. Step 5: Solve for x
    x = 29,185,161,972.38/197,644.71
  6. Step 6: Final answer
    x = 147,664.78

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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.