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Finding the Fourth Proportional to 253,813, 380,719.50 and 106,069

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Solution

The fourth proportional to 253,813, 380,719.50 and 106,069 is: 159,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,813 : 380,719.50 = 106,069 : x
  2. Step 2: Convert to fraction form
    253,813/380,719.50 = 106,069/x
  3. Step 3: Cross multiply
    253,813x = 380,719.50 × 106,069
  4. Step 4: Simplify right side
    253,813x = 40,382,536,645.50
  5. Step 5: Solve for x
    x = 40,382,536,645.50/253,813
  6. Step 6: Final answer
    x = 159,103.50

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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.