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Finding the Fourth Proportional to 208,562.72, 287,812.80 and 117,917.12

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Solution

The fourth proportional to 208,562.72, 287,812.80 and 117,917.12 is: 162,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,562.72 : 287,812.80 = 117,917.12 : x
  2. Step 2: Convert to fraction form
    208,562.72/287,812.80 = 117,917.12/x
  3. Step 3: Cross multiply
    208,562.72x = 287,812.80 × 117,917.12
  4. Step 4: Simplify right side
    208,562.72x = 33,938,056,475.14
  5. Step 5: Solve for x
    x = 33,938,056,475.14/208,562.72
  6. Step 6: Final answer
    x = 162,723.50

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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.