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Finding the Fourth Proportional to 256,124.70, 384,183.45 and 115,883.10

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Solution

The fourth proportional to 256,124.70, 384,183.45 and 115,883.10 is: 173,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,124.70 : 384,183.45 = 115,883.10 : x
  2. Step 2: Convert to fraction form
    256,124.70/384,183.45 = 115,883.10/x
  3. Step 3: Cross multiply
    256,124.70x = 384,183.45 × 115,883.10
  4. Step 4: Simplify right side
    256,124.70x = 44,520,369,154.70
  5. Step 5: Solve for x
    x = 44,520,369,154.70/256,124.70
  6. Step 6: Final answer
    x = 173,823.02

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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.