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Finding the Fourth Proportional to 53,447, 80,180.20 and 18,378.86

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Solution

The fourth proportional to 53,447, 80,180.20 and 18,378.86 is: 27,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,447 : 80,180.20 = 18,378.86 : x
  2. Step 2: Convert to fraction form
    53,447/80,180.20 = 18,378.86/x
  3. Step 3: Cross multiply
    53,447x = 80,180.20 × 18,378.86
  4. Step 4: Simplify right side
    53,447x = 1,473,620,670.57
  5. Step 5: Solve for x
    x = 1,473,620,670.57/53,447
  6. Step 6: Final answer
    x = 27,571.63

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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.