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Finding the Fourth Proportional to 109,665.80, 164,498.70 and 81,672.20

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Solution

The fourth proportional to 109,665.80, 164,498.70 and 81,672.20 is: 122,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,665.80 : 164,498.70 = 81,672.20 : x
  2. Step 2: Convert to fraction form
    109,665.80/164,498.70 = 81,672.20/x
  3. Step 3: Cross multiply
    109,665.80x = 164,498.70 × 81,672.20
  4. Step 4: Simplify right side
    109,665.80x = 13,434,970,726.14
  5. Step 5: Solve for x
    x = 13,434,970,726.14/109,665.80
  6. Step 6: Final answer
    x = 122,508.30

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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.