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Finding the Fourth Proportional to 208,761.72, 288,090.81 and 113,268.39

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Solution

The fourth proportional to 208,761.72, 288,090.81 and 113,268.39 is: 156,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,761.72 : 288,090.81 = 113,268.39 : x
  2. Step 2: Convert to fraction form
    208,761.72/288,090.81 = 113,268.39/x
  3. Step 3: Cross multiply
    208,761.72x = 288,090.81 × 113,268.39
  4. Step 4: Simplify right side
    208,761.72x = 32,631,581,927.03
  5. Step 5: Solve for x
    x = 32,631,581,927.03/208,761.72
  6. Step 6: Final answer
    x = 156,310.18

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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.