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Finding the Fourth Proportional to 208,532.28, 312,798.48 and 75,409.56

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Solution

The fourth proportional to 208,532.28, 312,798.48 and 75,409.56 is: 113,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,532.28 : 312,798.48 = 75,409.56 : x
  2. Step 2: Convert to fraction form
    208,532.28/312,798.48 = 75,409.56/x
  3. Step 3: Cross multiply
    208,532.28x = 312,798.48 × 75,409.56
  4. Step 4: Simplify right side
    208,532.28x = 23,587,995,745.47
  5. Step 5: Solve for x
    x = 23,587,995,745.47/208,532.28
  6. Step 6: Final answer
    x = 113,114.36

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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.