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Finding the Fourth Proportional to 208,204.23, 287,806.08 and 185,765.61

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Solution

The fourth proportional to 208,204.23, 287,806.08 and 185,765.61 is: 256,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,204.23 : 287,806.08 = 185,765.61 : x
  2. Step 2: Convert to fraction form
    208,204.23/287,806.08 = 185,765.61/x
  3. Step 3: Cross multiply
    208,204.23x = 287,806.08 × 185,765.61
  4. Step 4: Simplify right side
    208,204.23x = 53,464,472,012.91
  5. Step 5: Solve for x
    x = 53,464,472,012.91/208,204.23
  6. Step 6: Final answer
    x = 256,788.60

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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.