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Finding the Fourth Proportional to 33,123, 45,710.46 and 18,219

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Solution

The fourth proportional to 33,123, 45,710.46 and 18,219 is: 25,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123 : 45,710.46 = 18,219 : x
  2. Step 2: Convert to fraction form
    33,123/45,710.46 = 18,219/x
  3. Step 3: Cross multiply
    33,123x = 45,710.46 × 18,219
  4. Step 4: Simplify right side
    33,123x = 832,798,870.74
  5. Step 5: Solve for x
    x = 832,798,870.74/33,123
  6. Step 6: Final answer
    x = 25,142.62

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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.