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Finding the Fourth Proportional to 71,953.68, 107,938.32 and 27,618

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Solution

The fourth proportional to 71,953.68, 107,938.32 and 27,618 is: 41,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,953.68 : 107,938.32 = 27,618 : x
  2. Step 2: Convert to fraction form
    71,953.68/107,938.32 = 27,618/x
  3. Step 3: Cross multiply
    71,953.68x = 107,938.32 × 27,618
  4. Step 4: Simplify right side
    71,953.68x = 2,981,040,521.76
  5. Step 5: Solve for x
    x = 2,981,040,521.76/71,953.68
  6. Step 6: Final answer
    x = 41,429.99

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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.