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Finding the Fourth Proportional to 72,617.82, 108,969.52 and 30,505.28

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Solution

The fourth proportional to 72,617.82, 108,969.52 and 30,505.28 is: 45,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,617.82 : 108,969.52 = 30,505.28 : x
  2. Step 2: Convert to fraction form
    72,617.82/108,969.52 = 30,505.28/x
  3. Step 3: Cross multiply
    72,617.82x = 108,969.52 × 30,505.28
  4. Step 4: Simplify right side
    72,617.82x = 3,324,145,719.07
  5. Step 5: Solve for x
    x = 3,324,145,719.07/72,617.82
  6. Step 6: Final answer
    x = 45,775.90

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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.