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Finding the Fourth Proportional to 72,475.67, 108,708.64 and 19,880.75

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Solution

The fourth proportional to 72,475.67, 108,708.64 and 19,880.75 is: 29,819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,475.67 : 108,708.64 = 19,880.75 : x
  2. Step 2: Convert to fraction form
    72,475.67/108,708.64 = 19,880.75/x
  3. Step 3: Cross multiply
    72,475.67x = 108,708.64 × 19,880.75
  4. Step 4: Simplify right side
    72,475.67x = 2,161,209,294.68
  5. Step 5: Solve for x
    x = 2,161,209,294.68/72,475.67
  6. Step 6: Final answer
    x = 29,819.79

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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.