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Finding the Fourth Proportional to 257,008.92, 385,361.88 and 120,080.56

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Solution

The fourth proportional to 257,008.92, 385,361.88 and 120,080.56 is: 180,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,008.92 : 385,361.88 = 120,080.56 : x
  2. Step 2: Convert to fraction form
    257,008.92/385,361.88 = 120,080.56/x
  3. Step 3: Cross multiply
    257,008.92x = 385,361.88 × 120,080.56
  4. Step 4: Simplify right side
    257,008.92x = 46,274,470,353.05
  5. Step 5: Solve for x
    x = 46,274,470,353.05/257,008.92
  6. Step 6: Final answer
    x = 180,050.06

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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.