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Finding the Fourth Proportional to 201,137.50, 301,706.11 and 51,372.42

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Solution

The fourth proportional to 201,137.50, 301,706.11 and 51,372.42 is: 77,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,137.50 : 301,706.11 = 51,372.42 : x
  2. Step 2: Convert to fraction form
    201,137.50/301,706.11 = 51,372.42/x
  3. Step 3: Cross multiply
    201,137.50x = 301,706.11 × 51,372.42
  4. Step 4: Simplify right side
    201,137.50x = 15,499,372,999.49
  5. Step 5: Solve for x
    x = 15,499,372,999.49/201,137.50
  6. Step 6: Final answer
    x = 77,058.59

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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.