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Finding the Fourth Proportional to 201,232.80, 302,043.60 and 122,500.80

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Solution

The fourth proportional to 201,232.80, 302,043.60 and 122,500.80 is: 183,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,232.80 : 302,043.60 = 122,500.80 : x
  2. Step 2: Convert to fraction form
    201,232.80/302,043.60 = 122,500.80/x
  3. Step 3: Cross multiply
    201,232.80x = 302,043.60 × 122,500.80
  4. Step 4: Simplify right side
    201,232.80x = 37,000,582,634.88
  5. Step 5: Solve for x
    x = 37,000,582,634.88/201,232.80
  6. Step 6: Final answer
    x = 183,869.54

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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.