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Finding the Fourth Proportional to 166,617, 230,036.76 and 102,990.96

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Solution

The fourth proportional to 166,617, 230,036.76 and 102,990.96 is: 142,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,617 : 230,036.76 = 102,990.96 : x
  2. Step 2: Convert to fraction form
    166,617/230,036.76 = 102,990.96/x
  3. Step 3: Cross multiply
    166,617x = 230,036.76 × 102,990.96
  4. Step 4: Simplify right side
    166,617x = 23,691,706,747.69
  5. Step 5: Solve for x
    x = 23,691,706,747.69/166,617
  6. Step 6: Final answer
    x = 142,192.61

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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.