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Finding the Fourth Proportional to 208,693.64, 287,997.21 and 118,047.66

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Solution

The fourth proportional to 208,693.64, 287,997.21 and 118,047.66 is: 162,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,693.64 : 287,997.21 = 118,047.66 : x
  2. Step 2: Convert to fraction form
    208,693.64/287,997.21 = 118,047.66/x
  3. Step 3: Cross multiply
    208,693.64x = 287,997.21 × 118,047.66
  4. Step 4: Simplify right side
    208,693.64x = 33,997,396,727.03
  5. Step 5: Solve for x
    x = 33,997,396,727.03/208,693.64
  6. Step 6: Final answer
    x = 162,905.77

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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.