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Finding the Fourth Proportional to 30,093, 45,139.50 and 8,205

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Solution

The fourth proportional to 30,093, 45,139.50 and 8,205 is: 12,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,093 : 45,139.50 = 8,205 : x
  2. Step 2: Convert to fraction form
    30,093/45,139.50 = 8,205/x
  3. Step 3: Cross multiply
    30,093x = 45,139.50 × 8,205
  4. Step 4: Simplify right side
    30,093x = 370,369,597.50
  5. Step 5: Solve for x
    x = 370,369,597.50/30,093
  6. Step 6: Final answer
    x = 12,307.50

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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.