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Finding the Fourth Proportional to 72,933.60, 109,411.92 and 31,380.96

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Solution

The fourth proportional to 72,933.60, 109,411.92 and 31,380.96 is: 47,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,933.60 : 109,411.92 = 31,380.96 : x
  2. Step 2: Convert to fraction form
    72,933.60/109,411.92 = 31,380.96/x
  3. Step 3: Cross multiply
    72,933.60x = 109,411.92 × 31,380.96
  4. Step 4: Simplify right side
    72,933.60x = 3,433,451,085.04
  5. Step 5: Solve for x
    x = 3,433,451,085.04/72,933.60
  6. Step 6: Final answer
    x = 47,076.40

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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.