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Finding the Fourth Proportional to 165,765.20, 248,621.40 and 54,957.20

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Solution

The fourth proportional to 165,765.20, 248,621.40 and 54,957.20 is: 82,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,765.20 : 248,621.40 = 54,957.20 : x
  2. Step 2: Convert to fraction form
    165,765.20/248,621.40 = 54,957.20/x
  3. Step 3: Cross multiply
    165,765.20x = 248,621.40 × 54,957.20
  4. Step 4: Simplify right side
    165,765.20x = 13,663,536,004.08
  5. Step 5: Solve for x
    x = 13,663,536,004.08/165,765.20
  6. Step 6: Final answer
    x = 82,427.05

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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.