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Finding the Fourth Proportional to 222,032.63, 306,412.32 and 121,430.63

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Solution

The fourth proportional to 222,032.63, 306,412.32 and 121,430.63 is: 167,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,032.63 : 306,412.32 = 121,430.63 : x
  2. Step 2: Convert to fraction form
    222,032.63/306,412.32 = 121,430.63/x
  3. Step 3: Cross multiply
    222,032.63x = 306,412.32 × 121,430.63
  4. Step 4: Simplify right side
    222,032.63x = 37,207,839,525.30
  5. Step 5: Solve for x
    x = 37,207,839,525.30/222,032.63
  6. Step 6: Final answer
    x = 167,578.25

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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.