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Finding the Fourth Proportional to 201,038.30, 301,448.10 and 82,721.60

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Solution

The fourth proportional to 201,038.30, 301,448.10 and 82,721.60 is: 124,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,038.30 : 301,448.10 = 82,721.60 : x
  2. Step 2: Convert to fraction form
    201,038.30/301,448.10 = 82,721.60/x
  3. Step 3: Cross multiply
    201,038.30x = 301,448.10 × 82,721.60
  4. Step 4: Simplify right side
    201,038.30x = 24,936,269,148.96
  5. Step 5: Solve for x
    x = 24,936,269,148.96/201,038.30
  6. Step 6: Final answer
    x = 124,037.41

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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.