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Finding the Fourth Proportional to 222,014.18, 306,375 and 121,412.18

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Solution

The fourth proportional to 222,014.18, 306,375 and 121,412.18 is: 167,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,014.18 : 306,375 = 121,412.18 : x
  2. Step 2: Convert to fraction form
    222,014.18/306,375 = 121,412.18/x
  3. Step 3: Cross multiply
    222,014.18x = 306,375 × 121,412.18
  4. Step 4: Simplify right side
    222,014.18x = 37,197,656,647.50
  5. Step 5: Solve for x
    x = 37,197,656,647.50/222,014.18
  6. Step 6: Final answer
    x = 167,546.31

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1.5x scale

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.