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Finding the Fourth Proportional to 82,612, 123,918.04 and 27,212.32

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Solution

The fourth proportional to 82,612, 123,918.04 and 27,212.32 is: 40,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,612 : 123,918.04 = 27,212.32 : x
  2. Step 2: Convert to fraction form
    82,612/123,918.04 = 27,212.32/x
  3. Step 3: Cross multiply
    82,612x = 123,918.04 × 27,212.32
  4. Step 4: Simplify right side
    82,612x = 3,372,097,358.25
  5. Step 5: Solve for x
    x = 3,372,097,358.25/82,612
  6. Step 6: Final answer
    x = 40,818.49

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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.