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Finding the Fourth Proportional to 166,689, 230,031 and 91,237.68

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Solution

The fourth proportional to 166,689, 230,031 and 91,237.68 is: 125,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,689 : 230,031 = 91,237.68 : x
  2. Step 2: Convert to fraction form
    166,689/230,031 = 91,237.68/x
  3. Step 3: Cross multiply
    166,689x = 230,031 × 91,237.68
  4. Step 4: Simplify right side
    166,689x = 20,987,494,768.08
  5. Step 5: Solve for x
    x = 20,987,494,768.08/166,689
  6. Step 6: Final answer
    x = 125,908.10

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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.