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Finding the Fourth Proportional to 221,778, 306,053.64 and 121,176

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Solution

The fourth proportional to 221,778, 306,053.64 and 121,176 is: 167,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,778 : 306,053.64 = 121,176 : x
  2. Step 2: Convert to fraction form
    221,778/306,053.64 = 121,176/x
  3. Step 3: Cross multiply
    221,778x = 306,053.64 × 121,176
  4. Step 4: Simplify right side
    221,778x = 37,086,355,880.64
  5. Step 5: Solve for x
    x = 37,086,355,880.64/221,778
  6. Step 6: Final answer
    x = 167,222.88

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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.