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Finding the Fourth Proportional to 120,143.86, 180,196.86 and 40,181.22

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Solution

The fourth proportional to 120,143.86, 180,196.86 and 40,181.22 is: 60,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,143.86 : 180,196.86 = 40,181.22 : x
  2. Step 2: Convert to fraction form
    120,143.86/180,196.86 = 40,181.22/x
  3. Step 3: Cross multiply
    120,143.86x = 180,196.86 × 40,181.22
  4. Step 4: Simplify right side
    120,143.86x = 7,240,529,674.97
  5. Step 5: Solve for x
    x = 7,240,529,674.97/120,143.86
  6. Step 6: Final answer
    x = 60,265.50

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1.5x scale

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.