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Finding the Fourth Proportional to 256,797.70, 385,084.96 and 121,900.43

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Solution

The fourth proportional to 256,797.70, 385,084.96 and 121,900.43 is: 182,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,797.70 : 385,084.96 = 121,900.43 : x
  2. Step 2: Convert to fraction form
    256,797.70/385,084.96 = 121,900.43/x
  3. Step 3: Cross multiply
    256,797.70x = 385,084.96 × 121,900.43
  4. Step 4: Simplify right side
    256,797.70x = 46,942,022,210.53
  5. Step 5: Solve for x
    x = 46,942,022,210.53/256,797.70
  6. Step 6: Final answer
    x = 182,797.67

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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.