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Finding the Fourth Proportional to 72,297.52, 108,409.90 and 30,166.68

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Solution

The fourth proportional to 72,297.52, 108,409.90 and 30,166.68 is: 45,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,297.52 : 108,409.90 = 30,166.68 : x
  2. Step 2: Convert to fraction form
    72,297.52/108,409.90 = 30,166.68/x
  3. Step 3: Cross multiply
    72,297.52x = 108,409.90 × 30,166.68
  4. Step 4: Simplify right side
    72,297.52x = 3,270,366,762.13
  5. Step 5: Solve for x
    x = 3,270,366,762.13/72,297.52
  6. Step 6: Final answer
    x = 45,234.84

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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.