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Finding the Fourth Proportional to 208,504, 287,735.36 and 113,010.72

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Solution

The fourth proportional to 208,504, 287,735.36 and 113,010.72 is: 155,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,504 : 287,735.36 = 113,010.72 : x
  2. Step 2: Convert to fraction form
    208,504/287,735.36 = 113,010.72/x
  3. Step 3: Cross multiply
    208,504x = 287,735.36 × 113,010.72
  4. Step 4: Simplify right side
    208,504x = 32,517,180,203.06
  5. Step 5: Solve for x
    x = 32,517,180,203.06/208,504
  6. Step 6: Final answer
    x = 155,954.71

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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.