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Finding the Fourth Proportional to 214,395, 321,517.12 and 87,998.64

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Solution

The fourth proportional to 214,395, 321,517.12 and 87,998.64 is: 131,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,395 : 321,517.12 = 87,998.64 : x
  2. Step 2: Convert to fraction form
    214,395/321,517.12 = 87,998.64/x
  3. Step 3: Cross multiply
    214,395x = 321,517.12 × 87,998.64
  4. Step 4: Simplify right side
    214,395x = 28,293,069,296.72
  5. Step 5: Solve for x
    x = 28,293,069,296.72/214,395
  6. Step 6: Final answer
    x = 131,967.02

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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.