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Finding the Fourth Proportional to 215,418.86, 323,140.36 and 65,664.04

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Solution

The fourth proportional to 215,418.86, 323,140.36 and 65,664.04 is: 98,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,418.86 : 323,140.36 = 65,664.04 : x
  2. Step 2: Convert to fraction form
    215,418.86/323,140.36 = 65,664.04/x
  3. Step 3: Cross multiply
    215,418.86x = 323,140.36 × 65,664.04
  4. Step 4: Simplify right side
    215,418.86x = 21,218,701,524.65
  5. Step 5: Solve for x
    x = 21,218,701,524.65/215,418.86
  6. Step 6: Final answer
    x = 98,499.74

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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.