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Finding the Fourth Proportional to 68,643.10, 102,855.30 and 50,928.40

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Solution

The fourth proportional to 68,643.10, 102,855.30 and 50,928.40 is: 76,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,643.10 : 102,855.30 = 50,928.40 : x
  2. Step 2: Convert to fraction form
    68,643.10/102,855.30 = 50,928.40/x
  3. Step 3: Cross multiply
    68,643.10x = 102,855.30 × 50,928.40
  4. Step 4: Simplify right side
    68,643.10x = 5,238,255,860.52
  5. Step 5: Solve for x
    x = 5,238,255,860.52/68,643.10
  6. Step 6: Final answer
    x = 76,311.47

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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.