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Finding the Fourth Proportional to 222,164.52, 306,268.08 and 158,391.60

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Solution

The fourth proportional to 222,164.52, 306,268.08 and 158,391.60 is: 218,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,164.52 : 306,268.08 = 158,391.60 : x
  2. Step 2: Convert to fraction form
    222,164.52/306,268.08 = 158,391.60/x
  3. Step 3: Cross multiply
    222,164.52x = 306,268.08 × 158,391.60
  4. Step 4: Simplify right side
    222,164.52x = 48,510,291,220.13
  5. Step 5: Solve for x
    x = 48,510,291,220.13/222,164.52
  6. Step 6: Final answer
    x = 218,353.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.