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Finding the Fourth Proportional to 201,187.56, 301,782 and 74,855.64

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Solution

The fourth proportional to 201,187.56, 301,782 and 74,855.64 is: 112,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,187.56 : 301,782 = 74,855.64 : x
  2. Step 2: Convert to fraction form
    201,187.56/301,782 = 74,855.64/x
  3. Step 3: Cross multiply
    201,187.56x = 301,782 × 74,855.64
  4. Step 4: Simplify right side
    201,187.56x = 22,590,084,750.48
  5. Step 5: Solve for x
    x = 22,590,084,750.48/201,187.56
  6. Step 6: Final answer
    x = 112,283.71

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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.