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Finding the Fourth Proportional to 221,985, 306,346.59 and 121,383

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Solution

The fourth proportional to 221,985, 306,346.59 and 121,383 is: 167,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,985 : 306,346.59 = 121,383 : x
  2. Step 2: Convert to fraction form
    221,985/306,346.59 = 121,383/x
  3. Step 3: Cross multiply
    221,985x = 306,346.59 × 121,383
  4. Step 4: Simplify right side
    221,985x = 37,185,268,133.97
  5. Step 5: Solve for x
    x = 37,185,268,133.97/221,985
  6. Step 6: Final answer
    x = 167,512.53

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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.