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Finding the Fourth Proportional to 208,287.96, 312,383.16 and 58,542.60

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Solution

The fourth proportional to 208,287.96, 312,383.16 and 58,542.60 is: 87,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,287.96 : 312,383.16 = 58,542.60 : x
  2. Step 2: Convert to fraction form
    208,287.96/312,383.16 = 58,542.60/x
  3. Step 3: Cross multiply
    208,287.96x = 312,383.16 × 58,542.60
  4. Step 4: Simplify right side
    208,287.96x = 18,287,722,382.62
  5. Step 5: Solve for x
    x = 18,287,722,382.62/208,287.96
  6. Step 6: Final answer
    x = 87,800.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.