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Finding the Fourth Proportional to 48,409.93, 72,643.31 and 20,327.82

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Solution

The fourth proportional to 48,409.93, 72,643.31 and 20,327.82 is: 30,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,409.93 : 72,643.31 = 20,327.82 : x
  2. Step 2: Convert to fraction form
    48,409.93/72,643.31 = 20,327.82/x
  3. Step 3: Cross multiply
    48,409.93x = 72,643.31 × 20,327.82
  4. Step 4: Simplify right side
    48,409.93x = 1,476,680,180.70
  5. Step 5: Solve for x
    x = 1,476,680,180.70/48,409.93
  6. Step 6: Final answer
    x = 30,503.66

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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.