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Finding the Fourth Proportional to 45,518, 68,277.04 and 12,686

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Solution

The fourth proportional to 45,518, 68,277.04 and 12,686 is: 19,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,518 : 68,277.04 = 12,686 : x
  2. Step 2: Convert to fraction form
    45,518/68,277.04 = 12,686/x
  3. Step 3: Cross multiply
    45,518x = 68,277.04 × 12,686
  4. Step 4: Simplify right side
    45,518x = 866,162,529.44
  5. Step 5: Solve for x
    x = 866,162,529.44/45,518
  6. Step 6: Final answer
    x = 19,029.01

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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.