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Finding the Fourth Proportional to 199,740, 275,658.72 and 110,333.28

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Solution

The fourth proportional to 199,740, 275,658.72 and 110,333.28 is: 152,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,740 : 275,658.72 = 110,333.28 : x
  2. Step 2: Convert to fraction form
    199,740/275,658.72 = 110,333.28/x
  3. Step 3: Cross multiply
    199,740x = 275,658.72 × 110,333.28
  4. Step 4: Simplify right side
    199,740x = 30,414,330,738.20
  5. Step 5: Solve for x
    x = 30,414,330,738.20/199,740
  6. Step 6: Final answer
    x = 152,269.60

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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.