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Finding the Fourth Proportional to 33,139, 45,732.18 and 18,235

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Solution

The fourth proportional to 33,139, 45,732.18 and 18,235 is: 25,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,139 : 45,732.18 = 18,235 : x
  2. Step 2: Convert to fraction form
    33,139/45,732.18 = 18,235/x
  3. Step 3: Cross multiply
    33,139x = 45,732.18 × 18,235
  4. Step 4: Simplify right side
    33,139x = 833,926,302.30
  5. Step 5: Solve for x
    x = 833,926,302.30/33,139
  6. Step 6: Final answer
    x = 25,164.50

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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.