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Finding the Fourth Proportional to 166,678, 230,015.64 and 91,226.50

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Solution

The fourth proportional to 166,678, 230,015.64 and 91,226.50 is: 125,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,678 : 230,015.64 = 91,226.50 : x
  2. Step 2: Convert to fraction form
    166,678/230,015.64 = 91,226.50/x
  3. Step 3: Cross multiply
    166,678x = 230,015.64 × 91,226.50
  4. Step 4: Simplify right side
    166,678x = 20,983,521,782.46
  5. Step 5: Solve for x
    x = 20,983,521,782.46/166,678
  6. Step 6: Final answer
    x = 125,892.57

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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.