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Finding the Fourth Proportional to 165,787.20, 248,680.80 and 54,979.20

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Solution

The fourth proportional to 165,787.20, 248,680.80 and 54,979.20 is: 82,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,787.20 : 248,680.80 = 54,979.20 : x
  2. Step 2: Convert to fraction form
    165,787.20/248,680.80 = 54,979.20/x
  3. Step 3: Cross multiply
    165,787.20x = 248,680.80 × 54,979.20
  4. Step 4: Simplify right side
    165,787.20x = 13,672,271,439.36
  5. Step 5: Solve for x
    x = 13,672,271,439.36/165,787.20
  6. Step 6: Final answer
    x = 82,468.80

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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.