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Finding the Fourth Proportional to 106,340.80, 159,511.44 and 99,845.44

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Solution

The fourth proportional to 106,340.80, 159,511.44 and 99,845.44 is: 149,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,340.80 : 159,511.44 = 99,845.44 : x
  2. Step 2: Convert to fraction form
    106,340.80/159,511.44 = 99,845.44/x
  3. Step 3: Cross multiply
    106,340.80x = 159,511.44 × 99,845.44
  4. Step 4: Simplify right side
    106,340.80x = 15,926,489,911.83
  5. Step 5: Solve for x
    x = 15,926,489,911.83/106,340.80
  6. Step 6: Final answer
    x = 149,768.39

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1.5x scale

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.