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Finding the Fourth Proportional to 205,674.20, 307,855.20 and 161,059.40

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Solution

The fourth proportional to 205,674.20, 307,855.20 and 161,059.40 is: 241,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,674.20 : 307,855.20 = 161,059.40 : x
  2. Step 2: Convert to fraction form
    205,674.20/307,855.20 = 161,059.40/x
  3. Step 3: Cross multiply
    205,674.20x = 307,855.20 × 161,059.40
  4. Step 4: Simplify right side
    205,674.20x = 49,582,973,798.88
  5. Step 5: Solve for x
    x = 49,582,973,798.88/205,674.20
  6. Step 6: Final answer
    x = 241,075.32

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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.