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Finding the Fourth Proportional to 215,597.60, 323,415.84 and 97,324.64

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Solution

The fourth proportional to 215,597.60, 323,415.84 and 97,324.64 is: 145,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,597.60 : 323,415.84 = 97,324.64 : x
  2. Step 2: Convert to fraction form
    215,597.60/323,415.84 = 97,324.64/x
  3. Step 3: Cross multiply
    215,597.60x = 323,415.84 × 97,324.64
  4. Step 4: Simplify right side
    215,597.60x = 31,476,330,198.30
  5. Step 5: Solve for x
    x = 31,476,330,198.30/215,597.60
  6. Step 6: Final answer
    x = 145,995.74

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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.