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Finding the Fourth Proportional to 135,692.57, 187,228.74 and 81,980.56

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Solution

The fourth proportional to 135,692.57, 187,228.74 and 81,980.56 is: 113,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,692.57 : 187,228.74 = 81,980.56 : x
  2. Step 2: Convert to fraction form
    135,692.57/187,228.74 = 81,980.56/x
  3. Step 3: Cross multiply
    135,692.57x = 187,228.74 × 81,980.56
  4. Step 4: Simplify right side
    135,692.57x = 15,349,116,211.03
  5. Step 5: Solve for x
    x = 15,349,116,211.03/135,692.57
  6. Step 6: Final answer
    x = 113,116.85

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1.5x scale

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.