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Finding the Fourth Proportional to 53,603.78, 80,409.53 and 14,160.38

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Solution

The fourth proportional to 53,603.78, 80,409.53 and 14,160.38 is: 21,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,603.78 : 80,409.53 = 14,160.38 : x
  2. Step 2: Convert to fraction form
    53,603.78/80,409.53 = 14,160.38/x
  3. Step 3: Cross multiply
    53,603.78x = 80,409.53 × 14,160.38
  4. Step 4: Simplify right side
    53,603.78x = 1,138,629,500.42
  5. Step 5: Solve for x
    x = 1,138,629,500.42/53,603.78
  6. Step 6: Final answer
    x = 21,241.59

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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.