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Finding the Fourth Proportional to 171,590.81, 257,238.59 and 82,906.13

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Solution

The fourth proportional to 171,590.81, 257,238.59 and 82,906.13 is: 124,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,590.81 : 257,238.59 = 82,906.13 : x
  2. Step 2: Convert to fraction form
    171,590.81/257,238.59 = 82,906.13/x
  3. Step 3: Cross multiply
    171,590.81x = 257,238.59 × 82,906.13
  4. Step 4: Simplify right side
    171,590.81x = 21,326,656,212.12
  5. Step 5: Solve for x
    x = 21,326,656,212.12/171,590.81
  6. Step 6: Final answer
    x = 124,287.87

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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.