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Finding the Fourth Proportional to 208,383.66, 287,541.92 and 131,767.58

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Solution

The fourth proportional to 208,383.66, 287,541.92 and 131,767.58 is: 181,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,383.66 : 287,541.92 = 131,767.58 : x
  2. Step 2: Convert to fraction form
    208,383.66/287,541.92 = 131,767.58/x
  3. Step 3: Cross multiply
    208,383.66x = 287,541.92 × 131,767.58
  4. Step 4: Simplify right side
    208,383.66x = 37,888,700,850.41
  5. Step 5: Solve for x
    x = 37,888,700,850.41/208,383.66
  6. Step 6: Final answer
    x = 181,821.84

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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.