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Finding the Fourth Proportional to 51,987.29, 77,987.03 and 18,243

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Solution

The fourth proportional to 51,987.29, 77,987.03 and 18,243 is: 27,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987.29 : 77,987.03 = 18,243 : x
  2. Step 2: Convert to fraction form
    51,987.29/77,987.03 = 18,243/x
  3. Step 3: Cross multiply
    51,987.29x = 77,987.03 × 18,243
  4. Step 4: Simplify right side
    51,987.29x = 1,422,717,297.08
  5. Step 5: Solve for x
    x = 1,422,717,297.08/51,987.29
  6. Step 6: Final answer
    x = 27,366.64

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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.