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Finding the Fourth Proportional to 208,563.72, 287,814.18 and 117,918.12

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Solution

The fourth proportional to 208,563.72, 287,814.18 and 117,918.12 is: 162,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563.72 : 287,814.18 = 117,918.12 : x
  2. Step 2: Convert to fraction form
    208,563.72/287,814.18 = 117,918.12/x
  3. Step 3: Cross multiply
    208,563.72x = 287,814.18 × 117,918.12
  4. Step 4: Simplify right side
    208,563.72x = 33,938,507,014.94
  5. Step 5: Solve for x
    x = 33,938,507,014.94/208,563.72
  6. Step 6: Final answer
    x = 162,724.88

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