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Finding the Fourth Proportional to 201,254.88, 301,911.02 and 68,173.22

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Solution

The fourth proportional to 201,254.88, 301,911.02 and 68,173.22 is: 102,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,254.88 : 301,911.02 = 68,173.22 : x
  2. Step 2: Convert to fraction form
    201,254.88/301,911.02 = 68,173.22/x
  3. Step 3: Cross multiply
    201,254.88x = 301,911.02 × 68,173.22
  4. Step 4: Simplify right side
    201,254.88x = 20,582,246,386.88
  5. Step 5: Solve for x
    x = 20,582,246,386.88/201,254.88
  6. Step 6: Final answer
    x = 102,269.55

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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.