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Finding the Fourth Proportional to 165,338, 248,007.12 and 54,530

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Solution

The fourth proportional to 165,338, 248,007.12 and 54,530 is: 81,795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,338 : 248,007.12 = 54,530 : x
  2. Step 2: Convert to fraction form
    165,338/248,007.12 = 54,530/x
  3. Step 3: Cross multiply
    165,338x = 248,007.12 × 54,530
  4. Step 4: Simplify right side
    165,338x = 13,523,828,253.60
  5. Step 5: Solve for x
    x = 13,523,828,253.60/165,338
  6. Step 6: Final answer
    x = 81,795.04

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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.