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Finding the Fourth Proportional to 172,985.60, 259,672.80 and 133,716.80

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Solution

The fourth proportional to 172,985.60, 259,672.80 and 133,716.80 is: 200,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,985.60 : 259,672.80 = 133,716.80 : x
  2. Step 2: Convert to fraction form
    172,985.60/259,672.80 = 133,716.80/x
  3. Step 3: Cross multiply
    172,985.60x = 259,672.80 × 133,716.80
  4. Step 4: Simplify right side
    172,985.60x = 34,722,615,863.04
  5. Step 5: Solve for x
    x = 34,722,615,863.04/172,985.60
  6. Step 6: Final answer
    x = 200,725.47

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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.