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Finding the Fourth Proportional to 53,778, 80,667 and 16,842

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Solution

The fourth proportional to 53,778, 80,667 and 16,842 is: 25,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,778 : 80,667 = 16,842 : x
  2. Step 2: Convert to fraction form
    53,778/80,667 = 16,842/x
  3. Step 3: Cross multiply
    53,778x = 80,667 × 16,842
  4. Step 4: Simplify right side
    53,778x = 1,358,593,614
  5. Step 5: Solve for x
    x = 1,358,593,614/53,778
  6. Step 6: Final answer
    x = 25,263

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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.