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Finding the Fourth Proportional to 149,178.21, 205,865.96 and 82,110.21

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Solution

The fourth proportional to 149,178.21, 205,865.96 and 82,110.21 is: 113,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,178.21 : 205,865.96 = 82,110.21 : x
  2. Step 2: Convert to fraction form
    149,178.21/205,865.96 = 82,110.21/x
  3. Step 3: Cross multiply
    149,178.21x = 205,865.96 × 82,110.21
  4. Step 4: Simplify right side
    149,178.21x = 16,903,696,796.90
  5. Step 5: Solve for x
    x = 16,903,696,796.90/149,178.21
  6. Step 6: Final answer
    x = 113,312.10

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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.