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Finding the Fourth Proportional to 155,204, 214,181.52 and 84,548

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Solution

The fourth proportional to 155,204, 214,181.52 and 84,548 is: 116,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,204 : 214,181.52 = 84,548 : x
  2. Step 2: Convert to fraction form
    155,204/214,181.52 = 84,548/x
  3. Step 3: Cross multiply
    155,204x = 214,181.52 × 84,548
  4. Step 4: Simplify right side
    155,204x = 18,108,619,152.96
  5. Step 5: Solve for x
    x = 18,108,619,152.96/155,204
  6. Step 6: Final answer
    x = 116,676.24

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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.