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Finding the Fourth Proportional to 222,062.16, 306,448.20 and 121,458

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Solution

The fourth proportional to 222,062.16, 306,448.20 and 121,458 is: 167,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,062.16 : 306,448.20 = 121,458 : x
  2. Step 2: Convert to fraction form
    222,062.16/306,448.20 = 121,458/x
  3. Step 3: Cross multiply
    222,062.16x = 306,448.20 × 121,458
  4. Step 4: Simplify right side
    222,062.16x = 37,220,585,475.60
  5. Step 5: Solve for x
    x = 37,220,585,475.60/222,062.16
  6. Step 6: Final answer
    x = 167,613.36

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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.