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Finding the Fourth Proportional to 223,236, 308,066.16 and 121,261.92

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Solution

The fourth proportional to 223,236, 308,066.16 and 121,261.92 is: 167,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,236 : 308,066.16 = 121,261.92 : x
  2. Step 2: Convert to fraction form
    223,236/308,066.16 = 121,261.92/x
  3. Step 3: Cross multiply
    223,236x = 308,066.16 × 121,261.92
  4. Step 4: Simplify right side
    223,236x = 37,356,694,048.63
  5. Step 5: Solve for x
    x = 37,356,694,048.63/223,236
  6. Step 6: Final answer
    x = 167,341.71

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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.