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Finding the Fourth Proportional to 120,163.86, 180,246.17 and 45,263.88

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Solution

The fourth proportional to 120,163.86, 180,246.17 and 45,263.88 is: 67,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,163.86 : 180,246.17 = 45,263.88 : x
  2. Step 2: Convert to fraction form
    120,163.86/180,246.17 = 45,263.88/x
  3. Step 3: Cross multiply
    120,163.86x = 180,246.17 × 45,263.88
  4. Step 4: Simplify right side
    120,163.86x = 8,158,641,122.50
  5. Step 5: Solve for x
    x = 8,158,641,122.50/120,163.86
  6. Step 6: Final answer
    x = 67,895.96

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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.