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Finding the Fourth Proportional to 163,740, 225,958.98 and 92,120.14

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Solution

The fourth proportional to 163,740, 225,958.98 and 92,120.14 is: 127,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,740 : 225,958.98 = 92,120.14 : x
  2. Step 2: Convert to fraction form
    163,740/225,958.98 = 92,120.14/x
  3. Step 3: Cross multiply
    163,740x = 225,958.98 × 92,120.14
  4. Step 4: Simplify right side
    163,740x = 20,815,372,871.86
  5. Step 5: Solve for x
    x = 20,815,372,871.86/163,740
  6. Step 6: Final answer
    x = 127,124.54

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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.