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Finding the Fourth Proportional to 201,072.66, 301,608.78 and 51,312.94

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Solution

The fourth proportional to 201,072.66, 301,608.78 and 51,312.94 is: 76,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,072.66 : 301,608.78 = 51,312.94 : x
  2. Step 2: Convert to fraction form
    201,072.66/301,608.78 = 51,312.94/x
  3. Step 3: Cross multiply
    201,072.66x = 301,608.78 × 51,312.94
  4. Step 4: Simplify right side
    201,072.66x = 15,476,433,231.61
  5. Step 5: Solve for x
    x = 15,476,433,231.61/201,072.66
  6. Step 6: Final answer
    x = 76,969.36

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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.