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Finding the Fourth Proportional to 208,203.48, 287,805.03 and 185,764.86

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Solution

The fourth proportional to 208,203.48, 287,805.03 and 185,764.86 is: 256,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,203.48 : 287,805.03 = 185,764.86 : x
  2. Step 2: Convert to fraction form
    208,203.48/287,805.03 = 185,764.86/x
  3. Step 3: Cross multiply
    208,203.48x = 287,805.03 × 185,764.86
  4. Step 4: Simplify right side
    208,203.48x = 53,464,061,105.25
  5. Step 5: Solve for x
    x = 53,464,061,105.25/208,203.48
  6. Step 6: Final answer
    x = 256,787.55

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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.