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Finding the Fourth Proportional to 214,398.11, 321,643.60 and 64,625.87

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Solution

The fourth proportional to 214,398.11, 321,643.60 and 64,625.87 is: 96,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,398.11 : 321,643.60 = 64,625.87 : x
  2. Step 2: Convert to fraction form
    214,398.11/321,643.60 = 64,625.87/x
  3. Step 3: Cross multiply
    214,398.11x = 321,643.60 × 64,625.87
  4. Step 4: Simplify right side
    214,398.11x = 20,786,497,479.93
  5. Step 5: Solve for x
    x = 20,786,497,479.93/214,398.11
  6. Step 6: Final answer
    x = 96,952.80

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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.