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Finding the Fourth Proportional to 72,657.72, 108,978.36 and 20,074.68

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Solution

The fourth proportional to 72,657.72, 108,978.36 and 20,074.68 is: 30,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,657.72 : 108,978.36 = 20,074.68 : x
  2. Step 2: Convert to fraction form
    72,657.72/108,978.36 = 20,074.68/x
  3. Step 3: Cross multiply
    72,657.72x = 108,978.36 × 20,074.68
  4. Step 4: Simplify right side
    72,657.72x = 2,187,705,703.92
  5. Step 5: Solve for x
    x = 2,187,705,703.92/72,657.72
  6. Step 6: Final answer
    x = 30,109.75

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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.