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Finding the Fourth Proportional to 219,308.81, 302,694.11 and 138,843.60

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Solution

The fourth proportional to 219,308.81, 302,694.11 and 138,843.60 is: 191,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,308.81 : 302,694.11 = 138,843.60 : x
  2. Step 2: Convert to fraction form
    219,308.81/302,694.11 = 138,843.60/x
  3. Step 3: Cross multiply
    219,308.81x = 302,694.11 × 138,843.60
  4. Step 4: Simplify right side
    219,308.81x = 42,027,139,236.98
  5. Step 5: Solve for x
    x = 42,027,139,236.98/219,308.81
  6. Step 6: Final answer
    x = 191,634.53

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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.