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Finding the Fourth Proportional to 201,133, 301,738.32 and 76,464.28

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Solution

The fourth proportional to 201,133, 301,738.32 and 76,464.28 is: 114,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,133 : 301,738.32 = 76,464.28 : x
  2. Step 2: Convert to fraction form
    201,133/301,738.32 = 76,464.28/x
  3. Step 3: Cross multiply
    201,133x = 301,738.32 × 76,464.28
  4. Step 4: Simplify right side
    201,133x = 23,072,203,387.21
  5. Step 5: Solve for x
    x = 23,072,203,387.21/201,133
  6. Step 6: Final answer
    x = 114,711.18

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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.