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Finding the Fourth Proportional to 205,500.63, 283,592.84 and 120,619.11

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Solution

The fourth proportional to 205,500.63, 283,592.84 and 120,619.11 is: 166,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,500.63 : 283,592.84 = 120,619.11 : x
  2. Step 2: Convert to fraction form
    205,500.63/283,592.84 = 120,619.11/x
  3. Step 3: Cross multiply
    205,500.63x = 283,592.84 × 120,619.11
  4. Step 4: Simplify right side
    205,500.63x = 34,206,715,360.08
  5. Step 5: Solve for x
    x = 34,206,715,360.08/205,500.63
  6. Step 6: Final answer
    x = 166,455.53

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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.