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Finding the Fourth Proportional to 201,280.30, 302,114.85 and 122,548.30

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Solution

The fourth proportional to 201,280.30, 302,114.85 and 122,548.30 is: 183,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,280.30 : 302,114.85 = 122,548.30 : x
  2. Step 2: Convert to fraction form
    201,280.30/302,114.85 = 122,548.30/x
  3. Step 3: Cross multiply
    201,280.30x = 302,114.85 × 122,548.30
  4. Step 4: Simplify right side
    201,280.30x = 37,023,661,272.26
  5. Step 5: Solve for x
    x = 37,023,661,272.26/201,280.30
  6. Step 6: Final answer
    x = 183,940.81

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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.