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Finding the Fourth Proportional to 71,728.10, 98,984.31 and 39,896.90

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Solution

The fourth proportional to 71,728.10, 98,984.31 and 39,896.90 is: 55,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,728.10 : 98,984.31 = 39,896.90 : x
  2. Step 2: Convert to fraction form
    71,728.10/98,984.31 = 39,896.90/x
  3. Step 3: Cross multiply
    71,728.10x = 98,984.31 × 39,896.90
  4. Step 4: Simplify right side
    71,728.10x = 3,949,167,117.64
  5. Step 5: Solve for x
    x = 3,949,167,117.64/71,728.10
  6. Step 6: Final answer
    x = 55,057.46

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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.