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Finding the Fourth Proportional to 89,219.94, 133,787.54 and 51,791.48

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Solution

The fourth proportional to 89,219.94, 133,787.54 and 51,791.48 is: 77,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,219.94 : 133,787.54 = 51,791.48 : x
  2. Step 2: Convert to fraction form
    89,219.94/133,787.54 = 51,791.48/x
  3. Step 3: Cross multiply
    89,219.94x = 133,787.54 × 51,791.48
  4. Step 4: Simplify right side
    89,219.94x = 6,929,054,702.16
  5. Step 5: Solve for x
    x = 6,929,054,702.16/89,219.94
  6. Step 6: Final answer
    x = 77,662.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.