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Finding the Fourth Proportional to 45,822, 68,733 and 14,659.68

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Solution

The fourth proportional to 45,822, 68,733 and 14,659.68 is: 21,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,822 : 68,733 = 14,659.68 : x
  2. Step 2: Convert to fraction form
    45,822/68,733 = 14,659.68/x
  3. Step 3: Cross multiply
    45,822x = 68,733 × 14,659.68
  4. Step 4: Simplify right side
    45,822x = 1,007,603,785.44
  5. Step 5: Solve for x
    x = 1,007,603,785.44/45,822
  6. Step 6: Final answer
    x = 21,989.52

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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.