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Finding the Fourth Proportional to 48,409.97, 72,643.37 and 20,327.86

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Solution

The fourth proportional to 48,409.97, 72,643.37 and 20,327.86 is: 30,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,409.97 : 72,643.37 = 20,327.86 : x
  2. Step 2: Convert to fraction form
    48,409.97/72,643.37 = 20,327.86/x
  3. Step 3: Cross multiply
    48,409.97x = 72,643.37 × 20,327.86
  4. Step 4: Simplify right side
    48,409.97x = 1,476,684,255.29
  5. Step 5: Solve for x
    x = 1,476,684,255.29/48,409.97
  6. Step 6: Final answer
    x = 30,503.72

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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.