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Finding the Fourth Proportional to 201,144, 301,979.68 and 134,880.64

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Solution

The fourth proportional to 201,144, 301,979.68 and 134,880.64 is: 202,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,144 : 301,979.68 = 134,880.64 : x
  2. Step 2: Convert to fraction form
    201,144/301,979.68 = 134,880.64/x
  3. Step 3: Cross multiply
    201,144x = 301,979.68 × 134,880.64
  4. Step 4: Simplify right side
    201,144x = 40,731,212,505.40
  5. Step 5: Solve for x
    x = 40,731,212,505.40/201,144
  6. Step 6: Final answer
    x = 202,497.78

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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.