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Finding the Fourth Proportional to 109,611.70, 164,125.95 and 69,954.10

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Solution

The fourth proportional to 109,611.70, 164,125.95 and 69,954.10 is: 104,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,611.70 : 164,125.95 = 69,954.10 : x
  2. Step 2: Convert to fraction form
    109,611.70/164,125.95 = 69,954.10/x
  3. Step 3: Cross multiply
    109,611.70x = 164,125.95 × 69,954.10
  4. Step 4: Simplify right side
    109,611.70x = 11,481,283,118.90
  5. Step 5: Solve for x
    x = 11,481,283,118.90/109,611.70
  6. Step 6: Final answer
    x = 104,745.05

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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.