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Finding the Fourth Proportional to 72,952.60, 109,409.44 and 20,352.84

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Solution

The fourth proportional to 72,952.60, 109,409.44 and 20,352.84 is: 30,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,952.60 : 109,409.44 = 20,352.84 : x
  2. Step 2: Convert to fraction form
    72,952.60/109,409.44 = 20,352.84/x
  3. Step 3: Cross multiply
    72,952.60x = 109,409.44 × 20,352.84
  4. Step 4: Simplify right side
    72,952.60x = 2,226,792,826.81
  5. Step 5: Solve for x
    x = 2,226,792,826.81/72,952.60
  6. Step 6: Final answer
    x = 30,523.83

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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.