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Finding the Fourth Proportional to 256,022.53, 384,096.17 and 85,243.93

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Solution

The fourth proportional to 256,022.53, 384,096.17 and 85,243.93 is: 127,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,022.53 : 384,096.17 = 85,243.93 : x
  2. Step 2: Convert to fraction form
    256,022.53/384,096.17 = 85,243.93/x
  3. Step 3: Cross multiply
    256,022.53x = 384,096.17 × 85,243.93
  4. Step 4: Simplify right side
    256,022.53x = 32,741,867,028.75
  5. Step 5: Solve for x
    x = 32,741,867,028.75/256,022.53
  6. Step 6: Final answer
    x = 127,886.66

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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.