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Finding the Fourth Proportional to 256,064.73, 383,880.19 and 106,211.49

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Solution

The fourth proportional to 256,064.73, 383,880.19 and 106,211.49 is: 159,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,064.73 : 383,880.19 = 106,211.49 : x
  2. Step 2: Convert to fraction form
    256,064.73/383,880.19 = 106,211.49/x
  3. Step 3: Cross multiply
    256,064.73x = 383,880.19 × 106,211.49
  4. Step 4: Simplify right side
    256,064.73x = 40,772,486,961.38
  5. Step 5: Solve for x
    x = 40,772,486,961.38/256,064.73
  6. Step 6: Final answer
    x = 159,227.27

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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.