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Finding the Fourth Proportional to 201,143.88, 301,715.81 and 51,384.50

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Solution

The fourth proportional to 201,143.88, 301,715.81 and 51,384.50 is: 77,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,143.88 : 301,715.81 = 51,384.50 : x
  2. Step 2: Convert to fraction form
    201,143.88/301,715.81 = 51,384.50/x
  3. Step 3: Cross multiply
    201,143.88x = 301,715.81 × 51,384.50
  4. Step 4: Simplify right side
    201,143.88x = 15,503,514,273.44
  5. Step 5: Solve for x
    x = 15,503,514,273.44/201,143.88
  6. Step 6: Final answer
    x = 77,076.74

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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.