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Finding the Fourth Proportional to 193,400.20, 290,114.32 and 80,967.32

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Solution

The fourth proportional to 193,400.20, 290,114.32 and 80,967.32 is: 121,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,400.20 : 290,114.32 = 80,967.32 : x
  2. Step 2: Convert to fraction form
    193,400.20/290,114.32 = 80,967.32/x
  3. Step 3: Cross multiply
    193,400.20x = 290,114.32 × 80,967.32
  4. Step 4: Simplify right side
    193,400.20x = 23,489,778,984.02
  5. Step 5: Solve for x
    x = 23,489,778,984.02/193,400.20
  6. Step 6: Final answer
    x = 121,456.85

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1.5x scale

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.