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Finding the Fourth Proportional to 119,408.76, 164,778.11 and 65,692.40

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Solution

The fourth proportional to 119,408.76, 164,778.11 and 65,692.40 is: 90,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,408.76 : 164,778.11 = 65,692.40 : x
  2. Step 2: Convert to fraction form
    119,408.76/164,778.11 = 65,692.40/x
  3. Step 3: Cross multiply
    119,408.76x = 164,778.11 × 65,692.40
  4. Step 4: Simplify right side
    119,408.76x = 10,824,668,361.01
  5. Step 5: Solve for x
    x = 10,824,668,361.01/119,408.76
  6. Step 6: Final answer
    x = 90,652.21

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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.