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Finding the Fourth Proportional to 48,409.72, 72,643.00 and 20,327.61

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Solution

The fourth proportional to 48,409.72, 72,643.00 and 20,327.61 is: 30,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,409.72 : 72,643.00 = 20,327.61 : x
  2. Step 2: Convert to fraction form
    48,409.72/72,643.00 = 20,327.61/x
  3. Step 3: Cross multiply
    48,409.72x = 72,643.00 × 20,327.61
  4. Step 4: Simplify right side
    48,409.72x = 1,476,658,471.59
  5. Step 5: Solve for x
    x = 1,476,658,471.59/48,409.72
  6. Step 6: Final answer
    x = 30,503.35

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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.