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Finding the Fourth Proportional to 45,217, 67,825.50 and 17,515

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Solution

The fourth proportional to 45,217, 67,825.50 and 17,515 is: 26,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,217 : 67,825.50 = 17,515 : x
  2. Step 2: Convert to fraction form
    45,217/67,825.50 = 17,515/x
  3. Step 3: Cross multiply
    45,217x = 67,825.50 × 17,515
  4. Step 4: Simplify right side
    45,217x = 1,187,963,632.50
  5. Step 5: Solve for x
    x = 1,187,963,632.50/45,217
  6. Step 6: Final answer
    x = 26,272.50

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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.