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Finding the Fourth Proportional to 53,859.60, 80,692.20 and 47,638.80

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Solution

The fourth proportional to 53,859.60, 80,692.20 and 47,638.80 is: 71,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,859.60 : 80,692.20 = 47,638.80 : x
  2. Step 2: Convert to fraction form
    53,859.60/80,692.20 = 47,638.80/x
  3. Step 3: Cross multiply
    53,859.60x = 80,692.20 × 47,638.80
  4. Step 4: Simplify right side
    53,859.60x = 3,844,079,577.36
  5. Step 5: Solve for x
    x = 3,844,079,577.36/53,859.60
  6. Step 6: Final answer
    x = 71,372.23

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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.