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Finding the Fourth Proportional to 83,318.98, 124,978.37 and 27,159.07

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Solution

The fourth proportional to 83,318.98, 124,978.37 and 27,159.07 is: 40,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318.98 : 124,978.37 = 27,159.07 : x
  2. Step 2: Convert to fraction form
    83,318.98/124,978.37 = 27,159.07/x
  3. Step 3: Cross multiply
    83,318.98x = 124,978.37 × 27,159.07
  4. Step 4: Simplify right side
    83,318.98x = 3,394,295,674.42
  5. Step 5: Solve for x
    x = 3,394,295,674.42/83,318.98
  6. Step 6: Final answer
    x = 40,738.57

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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.