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Finding the Fourth Proportional to 49,259.24, 67,978.20 and 28,039.88

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Solution

The fourth proportional to 49,259.24, 67,978.20 and 28,039.88 is: 38,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,259.24 : 67,978.20 = 28,039.88 : x
  2. Step 2: Convert to fraction form
    49,259.24/67,978.20 = 28,039.88/x
  3. Step 3: Cross multiply
    49,259.24x = 67,978.20 × 28,039.88
  4. Step 4: Simplify right side
    49,259.24x = 1,906,100,570.62
  5. Step 5: Solve for x
    x = 1,906,100,570.62/49,259.24
  6. Step 6: Final answer
    x = 38,695.29

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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.