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Finding the Fourth Proportional to 169,830.20, 254,814.49 and 85,614.64

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Solution

The fourth proportional to 169,830.20, 254,814.49 and 85,614.64 is: 128,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,830.20 : 254,814.49 = 85,614.64 : x
  2. Step 2: Convert to fraction form
    169,830.20/254,814.49 = 85,614.64/x
  3. Step 3: Cross multiply
    169,830.20x = 254,814.49 × 85,614.64
  4. Step 4: Simplify right side
    169,830.20x = 21,815,850,298.12
  5. Step 5: Solve for x
    x = 21,815,850,298.12/169,830.20
  6. Step 6: Final answer
    x = 128,456.83

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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.