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Finding the Fourth Proportional to 201,146.36, 301,719.56 and 51,387

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Solution

The fourth proportional to 201,146.36, 301,719.56 and 51,387 is: 77,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146.36 : 301,719.56 = 51,387 : x
  2. Step 2: Convert to fraction form
    201,146.36/301,719.56 = 51,387/x
  3. Step 3: Cross multiply
    201,146.36x = 301,719.56 × 51,387
  4. Step 4: Simplify right side
    201,146.36x = 15,504,463,029.72
  5. Step 5: Solve for x
    x = 15,504,463,029.72/201,146.36
  6. Step 6: Final answer
    x = 77,080.51

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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.