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Finding the Fourth Proportional to 200,163.60, 300,148.20 and 111,322.80

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Solution

The fourth proportional to 200,163.60, 300,148.20 and 111,322.80 is: 166,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,163.60 : 300,148.20 = 111,322.80 : x
  2. Step 2: Convert to fraction form
    200,163.60/300,148.20 = 111,322.80/x
  3. Step 3: Cross multiply
    200,163.60x = 300,148.20 × 111,322.80
  4. Step 4: Simplify right side
    200,163.60x = 33,413,338,038.96
  5. Step 5: Solve for x
    x = 33,413,338,038.96/200,163.60
  6. Step 6: Final answer
    x = 166,930.14

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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.