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Finding the Fourth Proportional to 201,270, 301,915.26 and 51,511.53

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Solution

The fourth proportional to 201,270, 301,915.26 and 51,511.53 is: 77,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,270 : 301,915.26 = 51,511.53 : x
  2. Step 2: Convert to fraction form
    201,270/301,915.26 = 51,511.53/x
  3. Step 3: Cross multiply
    201,270x = 301,915.26 × 51,511.53
  4. Step 4: Simplify right side
    201,270x = 15,552,116,972.95
  5. Step 5: Solve for x
    x = 15,552,116,972.95/201,270
  6. Step 6: Final answer
    x = 77,269.92

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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.