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Finding the Fourth Proportional to 120,356.62, 180,406.87 and 45,444.87

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Solution

The fourth proportional to 120,356.62, 180,406.87 and 45,444.87 is: 68,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,356.62 : 180,406.87 = 45,444.87 : x
  2. Step 2: Convert to fraction form
    120,356.62/180,406.87 = 45,444.87/x
  3. Step 3: Cross multiply
    120,356.62x = 180,406.87 × 45,444.87
  4. Step 4: Simplify right side
    120,356.62x = 8,198,566,640.64
  5. Step 5: Solve for x
    x = 8,198,566,640.64/120,356.62
  6. Step 6: Final answer
    x = 68,118.95

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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.