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Finding the Fourth Proportional to 223,890, 308,968.20 and 123,288

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Solution

The fourth proportional to 223,890, 308,968.20 and 123,288 is: 170,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,890 : 308,968.20 = 123,288 : x
  2. Step 2: Convert to fraction form
    223,890/308,968.20 = 123,288/x
  3. Step 3: Cross multiply
    223,890x = 308,968.20 × 123,288
  4. Step 4: Simplify right side
    223,890x = 38,092,071,441.60
  5. Step 5: Solve for x
    x = 38,092,071,441.60/223,890
  6. Step 6: Final answer
    x = 170,137.44

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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.