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Finding the Fourth Proportional to 51,679, 77,519.10 and 16,618.60

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Solution

The fourth proportional to 51,679, 77,519.10 and 16,618.60 is: 24,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,679 : 77,519.10 = 16,618.60 : x
  2. Step 2: Convert to fraction form
    51,679/77,519.10 = 16,618.60/x
  3. Step 3: Cross multiply
    51,679x = 77,519.10 × 16,618.60
  4. Step 4: Simplify right side
    51,679x = 1,288,258,915.26
  5. Step 5: Solve for x
    x = 1,288,258,915.26/51,679
  6. Step 6: Final answer
    x = 24,928.09

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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.