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Finding the Fourth Proportional to 138,853.64, 191,625 and 81,495.44

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Solution

The fourth proportional to 138,853.64, 191,625 and 81,495.44 is: 112,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,853.64 : 191,625 = 81,495.44 : x
  2. Step 2: Convert to fraction form
    138,853.64/191,625 = 81,495.44/x
  3. Step 3: Cross multiply
    138,853.64x = 191,625 × 81,495.44
  4. Step 4: Simplify right side
    138,853.64x = 15,616,563,690
  5. Step 5: Solve for x
    x = 15,616,563,690/138,853.64
  6. Step 6: Final answer
    x = 112,467.80

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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.