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Finding the Fourth Proportional to 149,624.88, 206,486.65 and 82,561.20

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Solution

The fourth proportional to 149,624.88, 206,486.65 and 82,561.20 is: 113,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,624.88 : 206,486.65 = 82,561.20 : x
  2. Step 2: Convert to fraction form
    149,624.88/206,486.65 = 82,561.20/x
  3. Step 3: Cross multiply
    149,624.88x = 206,486.65 × 82,561.20
  4. Step 4: Simplify right side
    149,624.88x = 17,047,785,607.98
  5. Step 5: Solve for x
    x = 17,047,785,607.98/149,624.88
  6. Step 6: Final answer
    x = 113,936.84

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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.