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Finding the Fourth Proportional to 165,115.21, 247,672.83 and 65,322.40

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Solution

The fourth proportional to 165,115.21, 247,672.83 and 65,322.40 is: 97,983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,115.21 : 247,672.83 = 65,322.40 : x
  2. Step 2: Convert to fraction form
    165,115.21/247,672.83 = 65,322.40/x
  3. Step 3: Cross multiply
    165,115.21x = 247,672.83 × 65,322.40
  4. Step 4: Simplify right side
    165,115.21x = 16,178,583,670.39
  5. Step 5: Solve for x
    x = 16,178,583,670.39/165,115.21
  6. Step 6: Final answer
    x = 97,983.61

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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.