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Finding the Fourth Proportional to 80,492.80, 120,868.80 and 54,313.60

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Solution

The fourth proportional to 80,492.80, 120,868.80 and 54,313.60 is: 81,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492.80 : 120,868.80 = 54,313.60 : x
  2. Step 2: Convert to fraction form
    80,492.80/120,868.80 = 54,313.60/x
  3. Step 3: Cross multiply
    80,492.80x = 120,868.80 × 54,313.60
  4. Step 4: Simplify right side
    80,492.80x = 6,564,819,655.68
  5. Step 5: Solve for x
    x = 6,564,819,655.68/80,492.80
  6. Step 6: Final answer
    x = 81,557.85

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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.