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Finding the Fourth Proportional to 203,504.65, 305,184.07 and 103,631.65

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Solution

The fourth proportional to 203,504.65, 305,184.07 and 103,631.65 is: 155,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,504.65 : 305,184.07 = 103,631.65 : x
  2. Step 2: Convert to fraction form
    203,504.65/305,184.07 = 103,631.65/x
  3. Step 3: Cross multiply
    203,504.65x = 305,184.07 × 103,631.65
  4. Step 4: Simplify right side
    203,504.65x = 31,626,728,727.82
  5. Step 5: Solve for x
    x = 31,626,728,727.82/203,504.65
  6. Step 6: Final answer
    x = 155,410.35

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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.