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Finding the Fourth Proportional to 53,782, 80,672.68 and 13,800.84

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Solution

The fourth proportional to 53,782, 80,672.68 and 13,800.84 is: 20,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,782 : 80,672.68 = 13,800.84 : x
  2. Step 2: Convert to fraction form
    53,782/80,672.68 = 13,800.84/x
  3. Step 3: Cross multiply
    53,782x = 80,672.68 × 13,800.84
  4. Step 4: Simplify right side
    53,782x = 1,113,350,749.05
  5. Step 5: Solve for x
    x = 1,113,350,749.05/53,782
  6. Step 6: Final answer
    x = 20,701.18

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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.