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Finding the Fourth Proportional to 221,698.43, 305,943.87 and 121,096.43

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Solution

The fourth proportional to 221,698.43, 305,943.87 and 121,096.43 is: 167,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,698.43 : 305,943.87 = 121,096.43 : x
  2. Step 2: Convert to fraction form
    221,698.43/305,943.87 = 121,096.43/x
  3. Step 3: Cross multiply
    221,698.43x = 305,943.87 × 121,096.43
  4. Step 4: Simplify right side
    221,698.43x = 37,048,710,437.38
  5. Step 5: Solve for x
    x = 37,048,710,437.38/221,698.43
  6. Step 6: Final answer
    x = 167,113.09

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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.