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Finding the Fourth Proportional to 111,293.60, 166,940.40 and 81,769.10

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Solution

The fourth proportional to 111,293.60, 166,940.40 and 81,769.10 is: 122,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,293.60 : 166,940.40 = 81,769.10 : x
  2. Step 2: Convert to fraction form
    111,293.60/166,940.40 = 81,769.10/x
  3. Step 3: Cross multiply
    111,293.60x = 166,940.40 × 81,769.10
  4. Step 4: Simplify right side
    111,293.60x = 13,650,566,261.64
  5. Step 5: Solve for x
    x = 13,650,566,261.64/111,293.60
  6. Step 6: Final answer
    x = 122,653.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.