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Finding the Fourth Proportional to 201,231.80, 302,042.10 and 122,499.80

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Solution

The fourth proportional to 201,231.80, 302,042.10 and 122,499.80 is: 183,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231.80 : 302,042.10 = 122,499.80 : x
  2. Step 2: Convert to fraction form
    201,231.80/302,042.10 = 122,499.80/x
  3. Step 3: Cross multiply
    201,231.80x = 302,042.10 × 122,499.80
  4. Step 4: Simplify right side
    201,231.80x = 37,000,096,841.58
  5. Step 5: Solve for x
    x = 37,000,096,841.58/201,231.80
  6. Step 6: Final answer
    x = 183,868.04

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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.