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Finding the Fourth Proportional to 181,906, 251,020.52 and 100,231.72

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Solution

The fourth proportional to 181,906, 251,020.52 and 100,231.72 is: 138,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,906 : 251,020.52 = 100,231.72 : x
  2. Step 2: Convert to fraction form
    181,906/251,020.52 = 100,231.72/x
  3. Step 3: Cross multiply
    181,906x = 251,020.52 × 100,231.72
  4. Step 4: Simplify right side
    181,906x = 25,160,218,474.89
  5. Step 5: Solve for x
    x = 25,160,218,474.89/181,906
  6. Step 6: Final answer
    x = 138,314.40

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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.