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Finding the Fourth Proportional to 193,622.08, 290,174.72 and 103,480

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Solution

The fourth proportional to 193,622.08, 290,174.72 and 103,480 is: 155,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,622.08 : 290,174.72 = 103,480 : x
  2. Step 2: Convert to fraction form
    193,622.08/290,174.72 = 103,480/x
  3. Step 3: Cross multiply
    193,622.08x = 290,174.72 × 103,480
  4. Step 4: Simplify right side
    193,622.08x = 30,027,280,025.60
  5. Step 5: Solve for x
    x = 30,027,280,025.60/193,622.08
  6. Step 6: Final answer
    x = 155,081.90

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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.