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Finding the Fourth Proportional to 221,908.50, 306,233.73 and 121,306.50

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Solution

The fourth proportional to 221,908.50, 306,233.73 and 121,306.50 is: 167,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,908.50 : 306,233.73 = 121,306.50 : x
  2. Step 2: Convert to fraction form
    221,908.50/306,233.73 = 121,306.50/x
  3. Step 3: Cross multiply
    221,908.50x = 306,233.73 × 121,306.50
  4. Step 4: Simplify right side
    221,908.50x = 37,148,141,968.25
  5. Step 5: Solve for x
    x = 37,148,141,968.25/221,908.50
  6. Step 6: Final answer
    x = 167,402.97

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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.