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Finding the Fourth Proportional to 221,729.68, 305,986.44 and 121,128.40

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Solution

The fourth proportional to 221,729.68, 305,986.44 and 121,128.40 is: 167,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,729.68 : 305,986.44 = 121,128.40 : x
  2. Step 2: Convert to fraction form
    221,729.68/305,986.44 = 121,128.40/x
  3. Step 3: Cross multiply
    221,729.68x = 305,986.44 × 121,128.40
  4. Step 4: Simplify right side
    221,729.68x = 37,063,647,898.90
  5. Step 5: Solve for x
    x = 37,063,647,898.90/221,729.68
  6. Step 6: Final answer
    x = 167,156.91

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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.