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Finding the Fourth Proportional to 216,479.70, 298,745.37 and 120,992.58

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Solution

The fourth proportional to 216,479.70, 298,745.37 and 120,992.58 is: 166,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,479.70 : 298,745.37 = 120,992.58 : x
  2. Step 2: Convert to fraction form
    216,479.70/298,745.37 = 120,992.58/x
  3. Step 3: Cross multiply
    216,479.70x = 298,745.37 × 120,992.58
  4. Step 4: Simplify right side
    216,479.70x = 36,145,973,079.35
  5. Step 5: Solve for x
    x = 36,145,973,079.35/216,479.70
  6. Step 6: Final answer
    x = 166,971.65

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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.