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Finding the Fourth Proportional to 166,203.80, 229,281.52 and 120,811.40

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Solution

The fourth proportional to 166,203.80, 229,281.52 and 120,811.40 is: 166,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,203.80 : 229,281.52 = 120,811.40 : x
  2. Step 2: Convert to fraction form
    166,203.80/229,281.52 = 120,811.40/x
  3. Step 3: Cross multiply
    166,203.80x = 229,281.52 × 120,811.40
  4. Step 4: Simplify right side
    166,203.80x = 27,699,821,425.33
  5. Step 5: Solve for x
    x = 27,699,821,425.33/166,203.80
  6. Step 6: Final answer
    x = 166,661.78

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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.