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Finding the Fourth Proportional to 55,271.80, 82,907.70 and 51,991.30

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Solution

The fourth proportional to 55,271.80, 82,907.70 and 51,991.30 is: 77,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,271.80 : 82,907.70 = 51,991.30 : x
  2. Step 2: Convert to fraction form
    55,271.80/82,907.70 = 51,991.30/x
  3. Step 3: Cross multiply
    55,271.80x = 82,907.70 × 51,991.30
  4. Step 4: Simplify right side
    55,271.80x = 4,310,479,103.01
  5. Step 5: Solve for x
    x = 4,310,479,103.01/55,271.80
  6. Step 6: Final answer
    x = 77,986.95

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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.