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Finding the Fourth Proportional to 206,434.80, 284,883.12 and 115,810.80

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Solution

The fourth proportional to 206,434.80, 284,883.12 and 115,810.80 is: 159,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,434.80 : 284,883.12 = 115,810.80 : x
  2. Step 2: Convert to fraction form
    206,434.80/284,883.12 = 115,810.80/x
  3. Step 3: Cross multiply
    206,434.80x = 284,883.12 × 115,810.80
  4. Step 4: Simplify right side
    206,434.80x = 32,992,542,033.70
  5. Step 5: Solve for x
    x = 32,992,542,033.70/206,434.80
  6. Step 6: Final answer
    x = 159,820.64

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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.