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Finding the Fourth Proportional to 208,096.56, 287,203.32 and 136,583.28

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Solution

The fourth proportional to 208,096.56, 287,203.32 and 136,583.28 is: 188,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096.56 : 287,203.32 = 136,583.28 : x
  2. Step 2: Convert to fraction form
    208,096.56/287,203.32 = 136,583.28/x
  3. Step 3: Cross multiply
    208,096.56x = 287,203.32 × 136,583.28
  4. Step 4: Simplify right side
    208,096.56x = 39,227,171,472.49
  5. Step 5: Solve for x
    x = 39,227,171,472.49/208,096.56
  6. Step 6: Final answer
    x = 188,504.66

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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.