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Finding the Fourth Proportional to 206,348.80, 284,739.84 and 121,460.80

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Solution

The fourth proportional to 206,348.80, 284,739.84 and 121,460.80 is: 167,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,348.80 : 284,739.84 = 121,460.80 : x
  2. Step 2: Convert to fraction form
    206,348.80/284,739.84 = 121,460.80/x
  3. Step 3: Cross multiply
    206,348.80x = 284,739.84 × 121,460.80
  4. Step 4: Simplify right side
    206,348.80x = 34,584,728,758.27
  5. Step 5: Solve for x
    x = 34,584,728,758.27/206,348.80
  6. Step 6: Final answer
    x = 167,603.25

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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.