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Finding the Fourth Proportional to 201,155, 301,732.50 and 51,395.62

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Solution

The fourth proportional to 201,155, 301,732.50 and 51,395.62 is: 77,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,155 : 301,732.50 = 51,395.62 : x
  2. Step 2: Convert to fraction form
    201,155/301,732.50 = 51,395.62/x
  3. Step 3: Cross multiply
    201,155x = 301,732.50 × 51,395.62
  4. Step 4: Simplify right side
    201,155x = 15,507,728,911.65
  5. Step 5: Solve for x
    x = 15,507,728,911.65/201,155
  6. Step 6: Final answer
    x = 77,093.43

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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.