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Finding the Fourth Proportional to 68,023.50, 102,041.04 and 18,775.50

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Solution

The fourth proportional to 68,023.50, 102,041.04 and 18,775.50 is: 28,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,023.50 : 102,041.04 = 18,775.50 : x
  2. Step 2: Convert to fraction form
    68,023.50/102,041.04 = 18,775.50/x
  3. Step 3: Cross multiply
    68,023.50x = 102,041.04 × 18,775.50
  4. Step 4: Simplify right side
    68,023.50x = 1,915,871,546.52
  5. Step 5: Solve for x
    x = 1,915,871,546.52/68,023.50
  6. Step 6: Final answer
    x = 28,164.85

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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.