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Finding the Fourth Proportional to 199,829.60, 299,744.40 and 111,040.64

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Solution

The fourth proportional to 199,829.60, 299,744.40 and 111,040.64 is: 166,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,829.60 : 299,744.40 = 111,040.64 : x
  2. Step 2: Convert to fraction form
    199,829.60/299,744.40 = 111,040.64/x
  3. Step 3: Cross multiply
    199,829.60x = 299,744.40 × 111,040.64
  4. Step 4: Simplify right side
    199,829.60x = 33,283,810,012.42
  5. Step 5: Solve for x
    x = 33,283,810,012.42/199,829.60
  6. Step 6: Final answer
    x = 166,560.96

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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.