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Finding the Fourth Proportional to 208,548.20, 287,796.90 and 113,054.60

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Solution

The fourth proportional to 208,548.20, 287,796.90 and 113,054.60 is: 156,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,548.20 : 287,796.90 = 113,054.60 : x
  2. Step 2: Convert to fraction form
    208,548.20/287,796.90 = 113,054.60/x
  3. Step 3: Cross multiply
    208,548.20x = 287,796.90 × 113,054.60
  4. Step 4: Simplify right side
    208,548.20x = 32,536,763,410.74
  5. Step 5: Solve for x
    x = 32,536,763,410.74/208,548.20
  6. Step 6: Final answer
    x = 156,015.56

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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.