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Finding the Fourth Proportional to 208,302.44, 287,480.75 and 117,664.25

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Solution

The fourth proportional to 208,302.44, 287,480.75 and 117,664.25 is: 162,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,302.44 : 287,480.75 = 117,664.25 : x
  2. Step 2: Convert to fraction form
    208,302.44/287,480.75 = 117,664.25/x
  3. Step 3: Cross multiply
    208,302.44x = 287,480.75 × 117,664.25
  4. Step 4: Simplify right side
    208,302.44x = 33,826,206,377.11
  5. Step 5: Solve for x
    x = 33,826,206,377.11/208,302.44
  6. Step 6: Final answer
    x = 162,389.87

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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.