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Finding the Fourth Proportional to 82,089.82, 123,141.72 and 25,914.90

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Solution

The fourth proportional to 82,089.82, 123,141.72 and 25,914.90 is: 38,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,089.82 : 123,141.72 = 25,914.90 : x
  2. Step 2: Convert to fraction form
    82,089.82/123,141.72 = 25,914.90/x
  3. Step 3: Cross multiply
    82,089.82x = 123,141.72 × 25,914.90
  4. Step 4: Simplify right side
    82,089.82x = 3,191,205,359.63
  5. Step 5: Solve for x
    x = 3,191,205,359.63/82,089.82
  6. Step 6: Final answer
    x = 38,874.56

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1.5x scale

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.