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Finding the Fourth Proportional to 201,146.26, 301,719.37 and 51,386.87

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Solution

The fourth proportional to 201,146.26, 301,719.37 and 51,386.87 is: 77,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146.26 : 301,719.37 = 51,386.87 : x
  2. Step 2: Convert to fraction form
    201,146.26/301,719.37 = 51,386.87/x
  3. Step 3: Cross multiply
    201,146.26x = 301,719.37 × 51,386.87
  4. Step 4: Simplify right side
    201,146.26x = 15,504,414,042.67
  5. Step 5: Solve for x
    x = 15,504,414,042.67/201,146.26
  6. Step 6: Final answer
    x = 77,080.30

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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.