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Finding the Fourth Proportional to 219,199.41, 302,503.77 and 123,709.44

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Solution

The fourth proportional to 219,199.41, 302,503.77 and 123,709.44 is: 170,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,199.41 : 302,503.77 = 123,709.44 : x
  2. Step 2: Convert to fraction form
    219,199.41/302,503.77 = 123,709.44/x
  3. Step 3: Cross multiply
    219,199.41x = 302,503.77 × 123,709.44
  4. Step 4: Simplify right side
    219,199.41x = 37,422,571,984.59
  5. Step 5: Solve for x
    x = 37,422,571,984.59/219,199.41
  6. Step 6: Final answer
    x = 170,723.87

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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.