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Finding the Fourth Proportional to 171,664.26, 257,443.79 and 118,696.61

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Solution

The fourth proportional to 171,664.26, 257,443.79 and 118,696.61 is: 178,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,664.26 : 257,443.79 = 118,696.61 : x
  2. Step 2: Convert to fraction form
    171,664.26/257,443.79 = 118,696.61/x
  3. Step 3: Cross multiply
    171,664.26x = 257,443.79 × 118,696.61
  4. Step 4: Simplify right side
    171,664.26x = 30,557,704,545.07
  5. Step 5: Solve for x
    x = 30,557,704,545.07/171,664.26
  6. Step 6: Final answer
    x = 178,008.55

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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.