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Finding the Fourth Proportional to 201,613.80, 301,983.30 and 166,621.80

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Solution

The fourth proportional to 201,613.80, 301,983.30 and 166,621.80 is: 249,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,613.80 : 301,983.30 = 166,621.80 : x
  2. Step 2: Convert to fraction form
    201,613.80/301,983.30 = 166,621.80/x
  3. Step 3: Cross multiply
    201,613.80x = 301,983.30 × 166,621.80
  4. Step 4: Simplify right side
    201,613.80x = 50,317,001,015.94
  5. Step 5: Solve for x
    x = 50,317,001,015.94/201,613.80
  6. Step 6: Final answer
    x = 249,571.21

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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.