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Finding the Fourth Proportional to 45,216, 67,824 and 17,514

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Solution

The fourth proportional to 45,216, 67,824 and 17,514 is: 26,271

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216 : 67,824 = 17,514 : x
  2. Step 2: Convert to fraction form
    45,216/67,824 = 17,514/x
  3. Step 3: Cross multiply
    45,216x = 67,824 × 17,514
  4. Step 4: Simplify right side
    45,216x = 1,187,869,536
  5. Step 5: Solve for x
    x = 1,187,869,536/45,216
  6. Step 6: Final answer
    x = 26,271

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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.