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Finding the Fourth Proportional to 205,411.64, 283,469.94 and 120,530.12

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Solution

The fourth proportional to 205,411.64, 283,469.94 and 120,530.12 is: 166,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,411.64 : 283,469.94 = 120,530.12 : x
  2. Step 2: Convert to fraction form
    205,411.64/283,469.94 = 120,530.12/x
  3. Step 3: Cross multiply
    205,411.64x = 283,469.94 × 120,530.12
  4. Step 4: Simplify right side
    205,411.64x = 34,166,665,884.59
  5. Step 5: Solve for x
    x = 34,166,665,884.59/205,411.64
  6. Step 6: Final answer
    x = 166,332.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.