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Finding the Fourth Proportional to 30,063.68, 45,072.75 and 18,215

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Solution

The fourth proportional to 30,063.68, 45,072.75 and 18,215 is: 27,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,063.68 : 45,072.75 = 18,215 : x
  2. Step 2: Convert to fraction form
    30,063.68/45,072.75 = 18,215/x
  3. Step 3: Cross multiply
    30,063.68x = 45,072.75 × 18,215
  4. Step 4: Simplify right side
    30,063.68x = 821,000,141.25
  5. Step 5: Solve for x
    x = 821,000,141.25/30,063.68
  6. Step 6: Final answer
    x = 27,308.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.