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Finding the Fourth Proportional to 206,899.10, 310,057.05 and 127,778.30

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Solution

The fourth proportional to 206,899.10, 310,057.05 and 127,778.30 is: 191,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,899.10 : 310,057.05 = 127,778.30 : x
  2. Step 2: Convert to fraction form
    206,899.10/310,057.05 = 127,778.30/x
  3. Step 3: Cross multiply
    206,899.10x = 310,057.05 × 127,778.30
  4. Step 4: Simplify right side
    206,899.10x = 39,618,562,752.02
  5. Step 5: Solve for x
    x = 39,618,562,752.02/206,899.10
  6. Step 6: Final answer
    x = 191,487.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.