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Finding the Fourth Proportional to 100,137.49, 138,180.29 and 59,843.23

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Solution

The fourth proportional to 100,137.49, 138,180.29 and 59,843.23 is: 82,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,137.49 : 138,180.29 = 59,843.23 : x
  2. Step 2: Convert to fraction form
    100,137.49/138,180.29 = 59,843.23/x
  3. Step 3: Cross multiply
    100,137.49x = 138,180.29 × 59,843.23
  4. Step 4: Simplify right side
    100,137.49x = 8,269,154,576.72
  5. Step 5: Solve for x
    x = 8,269,154,576.72/100,137.49
  6. Step 6: Final answer
    x = 82,578.01

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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.