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Finding the Fourth Proportional to 201,085.40, 301,846.80 and 112,511.90

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Solution

The fourth proportional to 201,085.40, 301,846.80 and 112,511.90 is: 168,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,085.40 : 301,846.80 = 112,511.90 : x
  2. Step 2: Convert to fraction form
    201,085.40/301,846.80 = 112,511.90/x
  3. Step 3: Cross multiply
    201,085.40x = 301,846.80 × 112,511.90
  4. Step 4: Simplify right side
    201,085.40x = 33,961,356,976.92
  5. Step 5: Solve for x
    x = 33,961,356,976.92/201,085.40
  6. Step 6: Final answer
    x = 168,890.22

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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.