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Finding the Fourth Proportional to 221,956.70, 306,300.77 and 121,361.18

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Solution

The fourth proportional to 221,956.70, 306,300.77 and 121,361.18 is: 167,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,956.70 : 306,300.77 = 121,361.18 : x
  2. Step 2: Convert to fraction form
    221,956.70/306,300.77 = 121,361.18/x
  3. Step 3: Cross multiply
    221,956.70x = 306,300.77 × 121,361.18
  4. Step 4: Simplify right side
    221,956.70x = 37,173,020,743.80
  5. Step 5: Solve for x
    x = 37,173,020,743.80/221,956.70
  6. Step 6: Final answer
    x = 167,478.71

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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.