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Finding the Fourth Proportional to 109,418.73, 164,128.14 and 84,495.21

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Solution

The fourth proportional to 109,418.73, 164,128.14 and 84,495.21 is: 126,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,418.73 : 164,128.14 = 84,495.21 : x
  2. Step 2: Convert to fraction form
    109,418.73/164,128.14 = 84,495.21/x
  3. Step 3: Cross multiply
    109,418.73x = 164,128.14 × 84,495.21
  4. Step 4: Simplify right side
    109,418.73x = 13,868,041,656.21
  5. Step 5: Solve for x
    x = 13,868,041,656.21/109,418.73
  6. Step 6: Final answer
    x = 126,742.85

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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.