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Finding the Fourth Proportional to 208,512.43, 287,744.02 and 117,865.20

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Solution

The fourth proportional to 208,512.43, 287,744.02 and 117,865.20 is: 162,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,512.43 : 287,744.02 = 117,865.20 : x
  2. Step 2: Convert to fraction form
    208,512.43/287,744.02 = 117,865.20/x
  3. Step 3: Cross multiply
    208,512.43x = 287,744.02 × 117,865.20
  4. Step 4: Simplify right side
    208,512.43x = 33,915,006,466.10
  5. Step 5: Solve for x
    x = 33,915,006,466.10/208,512.43
  6. Step 6: Final answer
    x = 162,652.20

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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.