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Finding the Fourth Proportional to 201,099.78, 301,649.61 and 51,340.05

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Solution

The fourth proportional to 201,099.78, 301,649.61 and 51,340.05 is: 77,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,099.78 : 301,649.61 = 51,340.05 : x
  2. Step 2: Convert to fraction form
    201,099.78/301,649.61 = 51,340.05/x
  3. Step 3: Cross multiply
    201,099.78x = 301,649.61 × 51,340.05
  4. Step 4: Simplify right side
    201,099.78x = 15,486,706,059.88
  5. Step 5: Solve for x
    x = 15,486,706,059.88/201,099.78
  6. Step 6: Final answer
    x = 77,010.06

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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.