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Finding the Fourth Proportional to 164,074.64, 245,939.16 and 85,105.04

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Solution

The fourth proportional to 164,074.64, 245,939.16 and 85,105.04 is: 127,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,074.64 : 245,939.16 = 85,105.04 : x
  2. Step 2: Convert to fraction form
    164,074.64/245,939.16 = 85,105.04/x
  3. Step 3: Cross multiply
    164,074.64x = 245,939.16 × 85,105.04
  4. Step 4: Simplify right side
    164,074.64x = 20,930,662,049.37
  5. Step 5: Solve for x
    x = 20,930,662,049.37/164,074.64
  6. Step 6: Final answer
    x = 127,567.93

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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.