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Finding the Fourth Proportional to 180,118, 248,578.20 and 100,645.36

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Solution

The fourth proportional to 180,118, 248,578.20 and 100,645.36 is: 138,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,118 : 248,578.20 = 100,645.36 : x
  2. Step 2: Convert to fraction form
    180,118/248,578.20 = 100,645.36/x
  3. Step 3: Cross multiply
    180,118x = 248,578.20 × 100,645.36
  4. Step 4: Simplify right side
    180,118x = 25,018,242,427.15
  5. Step 5: Solve for x
    x = 25,018,242,427.15/180,118
  6. Step 6: Final answer
    x = 138,899.18

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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.