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Finding the Fourth Proportional to 72,194.32, 108,309.92 and 27,809.16

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Solution

The fourth proportional to 72,194.32, 108,309.92 and 27,809.16 is: 41,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,194.32 : 108,309.92 = 27,809.16 : x
  2. Step 2: Convert to fraction form
    72,194.32/108,309.92 = 27,809.16/x
  3. Step 3: Cross multiply
    72,194.32x = 108,309.92 × 27,809.16
  4. Step 4: Simplify right side
    72,194.32x = 3,012,007,894.87
  5. Step 5: Solve for x
    x = 3,012,007,894.87/72,194.32
  6. Step 6: Final answer
    x = 41,720.84

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1.5x scale

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.