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Finding the Fourth Proportional to 206,504.49, 309,756.74 and 73,390.00

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Solution

The fourth proportional to 206,504.49, 309,756.74 and 73,390.00 is: 110,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,504.49 : 309,756.74 = 73,390.00 : x
  2. Step 2: Convert to fraction form
    206,504.49/309,756.74 = 73,390.00/x
  3. Step 3: Cross multiply
    206,504.49x = 309,756.74 × 73,390.00
  4. Step 4: Simplify right side
    206,504.49x = 22,733,047,665.65
  5. Step 5: Solve for x
    x = 22,733,047,665.65/206,504.49
  6. Step 6: Final answer
    x = 110,085.00

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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.