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Finding the Fourth Proportional to 72,512.24, 108,748.44 and 19,909.20

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Solution

The fourth proportional to 72,512.24, 108,748.44 and 19,909.20 is: 29,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,512.24 : 108,748.44 = 19,909.20 : x
  2. Step 2: Convert to fraction form
    72,512.24/108,748.44 = 19,909.20/x
  3. Step 3: Cross multiply
    72,512.24x = 108,748.44 × 19,909.20
  4. Step 4: Simplify right side
    72,512.24x = 2,165,094,441.65
  5. Step 5: Solve for x
    x = 2,165,094,441.65/72,512.24
  6. Step 6: Final answer
    x = 29,858.33

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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.