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Finding the Fourth Proportional to 200,531.52, 300,782.50 and 74,112.80

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Solution

The fourth proportional to 200,531.52, 300,782.50 and 74,112.80 is: 111,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,531.52 : 300,782.50 = 74,112.80 : x
  2. Step 2: Convert to fraction form
    200,531.52/300,782.50 = 74,112.80/x
  3. Step 3: Cross multiply
    200,531.52x = 300,782.50 × 74,112.80
  4. Step 4: Simplify right side
    200,531.52x = 22,291,831,576.81
  5. Step 5: Solve for x
    x = 22,291,831,576.81/200,531.52
  6. Step 6: Final answer
    x = 111,163.73

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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.