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Finding the Fourth Proportional to 53,686.73, 80,530 and 13,705.70

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Solution

The fourth proportional to 53,686.73, 80,530 and 13,705.70 is: 20,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686.73 : 80,530 = 13,705.70 : x
  2. Step 2: Convert to fraction form
    53,686.73/80,530 = 13,705.70/x
  3. Step 3: Cross multiply
    53,686.73x = 80,530 × 13,705.70
  4. Step 4: Simplify right side
    53,686.73x = 1,103,720,021
  5. Step 5: Solve for x
    x = 1,103,720,021/53,686.73
  6. Step 6: Final answer
    x = 20,558.53

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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.