Home / 256,638.50-385,023.39-106,829

Finding the Fourth Proportional to 256,638.50, 385,023.39 and 106,829

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Solution

The fourth proportional to 256,638.50, 385,023.39 and 106,829 is: 160,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,638.50 : 385,023.39 = 106,829 : x
  2. Step 2: Convert to fraction form
    256,638.50/385,023.39 = 106,829/x
  3. Step 3: Cross multiply
    256,638.50x = 385,023.39 × 106,829
  4. Step 4: Simplify right side
    256,638.50x = 41,131,663,730.31
  5. Step 5: Solve for x
    x = 41,131,663,730.31/256,638.50
  6. Step 6: Final answer
    x = 160,270.82

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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.