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Finding the Fourth Proportional to 221,923, 306,254.82 and 121,321

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Solution

The fourth proportional to 221,923, 306,254.82 and 121,321 is: 167,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,923 : 306,254.82 = 121,321 : x
  2. Step 2: Convert to fraction form
    221,923/306,254.82 = 121,321/x
  3. Step 3: Cross multiply
    221,923x = 306,254.82 × 121,321
  4. Step 4: Simplify right side
    221,923x = 37,155,141,017.22
  5. Step 5: Solve for x
    x = 37,155,141,017.22/221,923
  6. Step 6: Final answer
    x = 167,423.57

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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.