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Finding the Fourth Proportional to 208,688.64, 287,964.09 and 116,805.48

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Solution

The fourth proportional to 208,688.64, 287,964.09 and 116,805.48 is: 161,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,688.64 : 287,964.09 = 116,805.48 : x
  2. Step 2: Convert to fraction form
    208,688.64/287,964.09 = 116,805.48/x
  3. Step 3: Cross multiply
    208,688.64x = 287,964.09 × 116,805.48
  4. Step 4: Simplify right side
    208,688.64x = 33,635,783,755.21
  5. Step 5: Solve for x
    x = 33,635,783,755.21/208,688.64
  6. Step 6: Final answer
    x = 161,176.88

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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.