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Finding the Fourth Proportional to 201,147.51, 301,721.25 and 51,388.12

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Solution

The fourth proportional to 201,147.51, 301,721.25 and 51,388.12 is: 77,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,147.51 : 301,721.25 = 51,388.12 : x
  2. Step 2: Convert to fraction form
    201,147.51/301,721.25 = 51,388.12/x
  3. Step 3: Cross multiply
    201,147.51x = 301,721.25 × 51,388.12
  4. Step 4: Simplify right side
    201,147.51x = 15,504,887,801.55
  5. Step 5: Solve for x
    x = 15,504,887,801.55/201,147.51
  6. Step 6: Final answer
    x = 77,082.18

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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.