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Finding the Fourth Proportional to 71,814.51, 107,729.14 and 27,478.55

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Solution

The fourth proportional to 71,814.51, 107,729.14 and 27,478.55 is: 41,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,814.51 : 107,729.14 = 27,478.55 : x
  2. Step 2: Convert to fraction form
    71,814.51/107,729.14 = 27,478.55/x
  3. Step 3: Cross multiply
    71,814.51x = 107,729.14 × 27,478.55
  4. Step 4: Simplify right side
    71,814.51x = 2,960,240,559.95
  5. Step 5: Solve for x
    x = 2,960,240,559.95/71,814.51
  6. Step 6: Final answer
    x = 41,220.65

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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.