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Finding the Fourth Proportional to 205,830.70, 284,012.12 and 120,964.16

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Solution

The fourth proportional to 205,830.70, 284,012.12 and 120,964.16 is: 166,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,830.70 : 284,012.12 = 120,964.16 : x
  2. Step 2: Convert to fraction form
    205,830.70/284,012.12 = 120,964.16/x
  3. Step 3: Cross multiply
    205,830.70x = 284,012.12 × 120,964.16
  4. Step 4: Simplify right side
    205,830.70x = 34,355,287,525.62
  5. Step 5: Solve for x
    x = 34,355,287,525.62/205,830.70
  6. Step 6: Final answer
    x = 166,910.41

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1.5x scale

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.