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Finding the Fourth Proportional to 219,195.42, 302,494.50 and 121,078.44

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Solution

The fourth proportional to 219,195.42, 302,494.50 and 121,078.44 is: 167,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,195.42 : 302,494.50 = 121,078.44 : x
  2. Step 2: Convert to fraction form
    219,195.42/302,494.50 = 121,078.44/x
  3. Step 3: Cross multiply
    219,195.42x = 302,494.50 × 121,078.44
  4. Step 4: Simplify right side
    219,195.42x = 36,625,562,168.58
  5. Step 5: Solve for x
    x = 36,625,562,168.58/219,195.42
  6. Step 6: Final answer
    x = 167,090.91

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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.