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Finding the Fourth Proportional to 201,271, 301,916.76 and 51,512.52

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Solution

The fourth proportional to 201,271, 301,916.76 and 51,512.52 is: 77,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,271 : 301,916.76 = 51,512.52 : x
  2. Step 2: Convert to fraction form
    201,271/301,916.76 = 51,512.52/x
  3. Step 3: Cross multiply
    201,271x = 301,916.76 × 51,512.52
  4. Step 4: Simplify right side
    201,271x = 15,552,493,137.84
  5. Step 5: Solve for x
    x = 15,552,493,137.84/201,271
  6. Step 6: Final answer
    x = 77,271.41

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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.