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Finding the Fourth Proportional to 208,634.40, 287,895.60 and 123,735.60

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Solution

The fourth proportional to 208,634.40, 287,895.60 and 123,735.60 is: 170,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,634.40 : 287,895.60 = 123,735.60 : x
  2. Step 2: Convert to fraction form
    208,634.40/287,895.60 = 123,735.60/x
  3. Step 3: Cross multiply
    208,634.40x = 287,895.60 × 123,735.60
  4. Step 4: Simplify right side
    208,634.40x = 35,622,934,803.36
  5. Step 5: Solve for x
    x = 35,622,934,803.36/208,634.40
  6. Step 6: Final answer
    x = 170,743.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.