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Finding the Fourth Proportional to 109,868.83, 164,633.63 and 74,190.32

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Solution

The fourth proportional to 109,868.83, 164,633.63 and 74,190.32 is: 111,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,868.83 : 164,633.63 = 74,190.32 : x
  2. Step 2: Convert to fraction form
    109,868.83/164,633.63 = 74,190.32/x
  3. Step 3: Cross multiply
    109,868.83x = 164,633.63 × 74,190.32
  4. Step 4: Simplify right side
    109,868.83x = 12,214,221,692.46
  5. Step 5: Solve for x
    x = 12,214,221,692.46/109,868.83
  6. Step 6: Final answer
    x = 111,170.95

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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.