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Finding the Fourth Proportional to 201,190.80, 301,786.14 and 51,431.40

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Solution

The fourth proportional to 201,190.80, 301,786.14 and 51,431.40 is: 77,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,190.80 : 301,786.14 = 51,431.40 : x
  2. Step 2: Convert to fraction form
    201,190.80/301,786.14 = 51,431.40/x
  3. Step 3: Cross multiply
    201,190.80x = 301,786.14 × 51,431.40
  4. Step 4: Simplify right side
    201,190.80x = 15,521,283,680.80
  5. Step 5: Solve for x
    x = 15,521,283,680.80/201,190.80
  6. Step 6: Final answer
    x = 77,147.08

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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.