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Finding the Fourth Proportional to 215,303.82, 323,002.41 and 65,540.20

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Solution

The fourth proportional to 215,303.82, 323,002.41 and 65,540.20 is: 98,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,303.82 : 323,002.41 = 65,540.20 : x
  2. Step 2: Convert to fraction form
    215,303.82/323,002.41 = 65,540.20/x
  3. Step 3: Cross multiply
    215,303.82x = 323,002.41 × 65,540.20
  4. Step 4: Simplify right side
    215,303.82x = 21,169,642,551.88
  5. Step 5: Solve for x
    x = 21,169,642,551.88/215,303.82
  6. Step 6: Final answer
    x = 98,324.51

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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.