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Finding the Fourth Proportional to 205,751.85, 308,461.68 and 189,144.30

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Solution

The fourth proportional to 205,751.85, 308,461.68 and 189,144.30 is: 283,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,751.85 : 308,461.68 = 189,144.30 : x
  2. Step 2: Convert to fraction form
    205,751.85/308,461.68 = 189,144.30/x
  3. Step 3: Cross multiply
    205,751.85x = 308,461.68 × 189,144.30
  4. Step 4: Simplify right side
    205,751.85x = 58,343,768,540.42
  5. Step 5: Solve for x
    x = 58,343,768,540.42/205,751.85
  6. Step 6: Final answer
    x = 283,563.76

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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.