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Finding the Fourth Proportional to 45,514, 68,271.04 and 12,682

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Solution

The fourth proportional to 45,514, 68,271.04 and 12,682 is: 19,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,514 : 68,271.04 = 12,682 : x
  2. Step 2: Convert to fraction form
    45,514/68,271.04 = 12,682/x
  3. Step 3: Cross multiply
    45,514x = 68,271.04 × 12,682
  4. Step 4: Simplify right side
    45,514x = 865,813,329.28
  5. Step 5: Solve for x
    x = 865,813,329.28/45,514
  6. Step 6: Final answer
    x = 19,023.01

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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.