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Finding the Fourth Proportional to 201,196.90, 301,511.65 and 158,890.60

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Solution

The fourth proportional to 201,196.90, 301,511.65 and 158,890.60 is: 238,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,196.90 : 301,511.65 = 158,890.60 : x
  2. Step 2: Convert to fraction form
    201,196.90/301,511.65 = 158,890.60/x
  3. Step 3: Cross multiply
    201,196.90x = 301,511.65 × 158,890.60
  4. Step 4: Simplify right side
    201,196.90x = 47,907,366,975.49
  5. Step 5: Solve for x
    x = 47,907,366,975.49/201,196.90
  6. Step 6: Final answer
    x = 238,111.85

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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.