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Finding the Fourth Proportional to 106,638.42, 159,863.93 and 43,511.71

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Solution

The fourth proportional to 106,638.42, 159,863.93 and 43,511.71 is: 65,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638.42 : 159,863.93 = 43,511.71 : x
  2. Step 2: Convert to fraction form
    106,638.42/159,863.93 = 43,511.71/x
  3. Step 3: Cross multiply
    106,638.42x = 159,863.93 × 43,511.71
  4. Step 4: Simplify right side
    106,638.42x = 6,955,952,357.70
  5. Step 5: Solve for x
    x = 6,955,952,357.70/106,638.42
  6. Step 6: Final answer
    x = 65,229.32

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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.