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Finding the Fourth Proportional to 208,201.80, 287,318.16 and 112,708.48

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Solution

The fourth proportional to 208,201.80, 287,318.16 and 112,708.48 is: 155,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,201.80 : 287,318.16 = 112,708.48 : x
  2. Step 2: Convert to fraction form
    208,201.80/287,318.16 = 112,708.48/x
  3. Step 3: Cross multiply
    208,201.80x = 287,318.16 × 112,708.48
  4. Step 4: Simplify right side
    208,201.80x = 32,383,193,090.00
  5. Step 5: Solve for x
    x = 32,383,193,090.00/208,201.80
  6. Step 6: Final answer
    x = 155,537.53

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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.