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Finding the Fourth Proportional to 135,578.76, 187,103.48 and 81,853.28

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Solution

The fourth proportional to 135,578.76, 187,103.48 and 81,853.28 is: 112,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,578.76 : 187,103.48 = 81,853.28 : x
  2. Step 2: Convert to fraction form
    135,578.76/187,103.48 = 81,853.28/x
  3. Step 3: Cross multiply
    135,578.76x = 187,103.48 × 81,853.28
  4. Step 4: Simplify right side
    135,578.76x = 15,315,033,537.41
  5. Step 5: Solve for x
    x = 15,315,033,537.41/135,578.76
  6. Step 6: Final answer
    x = 112,960.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.