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Finding the Fourth Proportional to 51,615, 77,435.50 and 14,679

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Solution

The fourth proportional to 51,615, 77,435.50 and 14,679 is: 22,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,615 : 77,435.50 = 14,679 : x
  2. Step 2: Convert to fraction form
    51,615/77,435.50 = 14,679/x
  3. Step 3: Cross multiply
    51,615x = 77,435.50 × 14,679
  4. Step 4: Simplify right side
    51,615x = 1,136,675,704.50
  5. Step 5: Solve for x
    x = 1,136,675,704.50/51,615
  6. Step 6: Final answer
    x = 22,022.20

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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.