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Finding the Fourth Proportional to 275,361.93, 412,963.47 and 75,688.83

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Solution

The fourth proportional to 275,361.93, 412,963.47 and 75,688.83 is: 113,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,361.93 : 412,963.47 = 75,688.83 : x
  2. Step 2: Convert to fraction form
    275,361.93/412,963.47 = 75,688.83/x
  3. Step 3: Cross multiply
    275,361.93x = 412,963.47 × 75,688.83
  4. Step 4: Simplify right side
    275,361.93x = 31,256,721,877.04
  5. Step 5: Solve for x
    x = 31,256,721,877.04/275,361.93
  6. Step 6: Final answer
    x = 113,511.41

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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.