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Finding the Fourth Proportional to 86,262, 129,393 and 27,894

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Solution

The fourth proportional to 86,262, 129,393 and 27,894 is: 41,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,262 : 129,393 = 27,894 : x
  2. Step 2: Convert to fraction form
    86,262/129,393 = 27,894/x
  3. Step 3: Cross multiply
    86,262x = 129,393 × 27,894
  4. Step 4: Simplify right side
    86,262x = 3,609,288,342
  5. Step 5: Solve for x
    x = 3,609,288,342/86,262
  6. Step 6: Final answer
    x = 41,841

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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.