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Finding the Fourth Proportional to 203,513.65, 305,197.57 and 103,640.65

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Solution

The fourth proportional to 203,513.65, 305,197.57 and 103,640.65 is: 155,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,513.65 : 305,197.57 = 103,640.65 : x
  2. Step 2: Convert to fraction form
    203,513.65/305,197.57 = 103,640.65/x
  3. Step 3: Cross multiply
    203,513.65x = 305,197.57 × 103,640.65
  4. Step 4: Simplify right side
    203,513.65x = 31,630,874,533.22
  5. Step 5: Solve for x
    x = 31,630,874,533.22/203,513.65
  6. Step 6: Final answer
    x = 155,423.85

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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.