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Finding the Fourth Proportional to 252,097.50, 378,146.24 and 172,971.84

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Solution

The fourth proportional to 252,097.50, 378,146.24 and 172,971.84 is: 259,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,097.50 : 378,146.24 = 172,971.84 : x
  2. Step 2: Convert to fraction form
    252,097.50/378,146.24 = 172,971.84/x
  3. Step 3: Cross multiply
    252,097.50x = 378,146.24 × 172,971.84
  4. Step 4: Simplify right side
    252,097.50x = 65,408,650,921.88
  5. Step 5: Solve for x
    x = 65,408,650,921.88/252,097.50
  6. Step 6: Final answer
    x = 259,457.75

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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.