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Finding the Fourth Proportional to 71,728.12, 98,976.90 and 41,507.56

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Solution

The fourth proportional to 71,728.12, 98,976.90 and 41,507.56 is: 57,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,728.12 : 98,976.90 = 41,507.56 : x
  2. Step 2: Convert to fraction form
    71,728.12/98,976.90 = 41,507.56/x
  3. Step 3: Cross multiply
    71,728.12x = 98,976.90 × 41,507.56
  4. Step 4: Simplify right side
    71,728.12x = 4,108,289,615.36
  5. Step 5: Solve for x
    x = 4,108,289,615.36/71,728.12
  6. Step 6: Final answer
    x = 57,275.86

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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.