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Finding the Fourth Proportional to 201,145.26, 301,717.87 and 51,385.87

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Solution

The fourth proportional to 201,145.26, 301,717.87 and 51,385.87 is: 77,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,145.26 : 301,717.87 = 51,385.87 : x
  2. Step 2: Convert to fraction form
    201,145.26/301,717.87 = 51,385.87/x
  3. Step 3: Cross multiply
    201,145.26x = 301,717.87 × 51,385.87
  4. Step 4: Simplify right side
    201,145.26x = 15,504,035,244.50
  5. Step 5: Solve for x
    x = 15,504,035,244.50/201,145.26
  6. Step 6: Final answer
    x = 77,078.80

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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.