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Finding the Fourth Proportional to 256,062.46, 383,876.81 and 106,209.22

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Solution

The fourth proportional to 256,062.46, 383,876.81 and 106,209.22 is: 159,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,062.46 : 383,876.81 = 106,209.22 : x
  2. Step 2: Convert to fraction form
    256,062.46/383,876.81 = 106,209.22/x
  3. Step 3: Cross multiply
    256,062.46x = 383,876.81 × 106,209.22
  4. Step 4: Simplify right side
    256,062.46x = 40,771,256,566.19
  5. Step 5: Solve for x
    x = 40,771,256,566.19/256,062.46
  6. Step 6: Final answer
    x = 159,223.87

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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.