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Finding the Fourth Proportional to 166,102, 229,222.34 and 90,650.48

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Solution

The fourth proportional to 166,102, 229,222.34 and 90,650.48 is: 125,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,102 : 229,222.34 = 90,650.48 : x
  2. Step 2: Convert to fraction form
    166,102/229,222.34 = 90,650.48/x
  3. Step 3: Cross multiply
    166,102x = 229,222.34 × 90,650.48
  4. Step 4: Simplify right side
    166,102x = 20,779,115,147.72
  5. Step 5: Solve for x
    x = 20,779,115,147.72/166,102
  6. Step 6: Final answer
    x = 125,098.52

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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.