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Finding the Fourth Proportional to 106,638.97, 159,898.92 and 67,111.38

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Solution

The fourth proportional to 106,638.97, 159,898.92 and 67,111.38 is: 100,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638.97 : 159,898.92 = 67,111.38 : x
  2. Step 2: Convert to fraction form
    106,638.97/159,898.92 = 67,111.38/x
  3. Step 3: Cross multiply
    106,638.97x = 159,898.92 × 67,111.38
  4. Step 4: Simplify right side
    106,638.97x = 10,731,037,181.71
  5. Step 5: Solve for x
    x = 10,731,037,181.71/106,638.97
  6. Step 6: Final answer
    x = 100,629.60

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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.