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Finding the Fourth Proportional to 201,280.22, 301,918.18 and 51,519.32

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Solution

The fourth proportional to 201,280.22, 301,918.18 and 51,519.32 is: 77,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,280.22 : 301,918.18 = 51,519.32 : x
  2. Step 2: Convert to fraction form
    201,280.22/301,918.18 = 51,519.32/x
  3. Step 3: Cross multiply
    201,280.22x = 301,918.18 × 51,519.32
  4. Step 4: Simplify right side
    201,280.22x = 15,554,619,329.24
  5. Step 5: Solve for x
    x = 15,554,619,329.24/201,280.22
  6. Step 6: Final answer
    x = 77,278.43

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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.