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Finding the Fourth Proportional to 206,921.16, 310,383.90 and 165,630.60

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Solution

The fourth proportional to 206,921.16, 310,383.90 and 165,630.60 is: 248,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,921.16 : 310,383.90 = 165,630.60 : x
  2. Step 2: Convert to fraction form
    206,921.16/310,383.90 = 165,630.60/x
  3. Step 3: Cross multiply
    206,921.16x = 310,383.90 × 165,630.60
  4. Step 4: Simplify right side
    206,921.16x = 51,409,071,587.34
  5. Step 5: Solve for x
    x = 51,409,071,587.34/206,921.16
  6. Step 6: Final answer
    x = 248,447.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.