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Finding the Fourth Proportional to 201,268, 301,912.26 and 51,509.53

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Solution

The fourth proportional to 201,268, 301,912.26 and 51,509.53 is: 77,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,268 : 301,912.26 = 51,509.53 : x
  2. Step 2: Convert to fraction form
    201,268/301,912.26 = 51,509.53/x
  3. Step 3: Cross multiply
    201,268x = 301,912.26 × 51,509.53
  4. Step 4: Simplify right side
    201,268x = 15,551,358,613.84
  5. Step 5: Solve for x
    x = 15,551,358,613.84/201,268
  6. Step 6: Final answer
    x = 77,266.92

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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.