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Finding the Fourth Proportional to 82,494.16, 123,741.24 and 20,164.56

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Solution

The fourth proportional to 82,494.16, 123,741.24 and 20,164.56 is: 30,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,494.16 : 123,741.24 = 20,164.56 : x
  2. Step 2: Convert to fraction form
    82,494.16/123,741.24 = 20,164.56/x
  3. Step 3: Cross multiply
    82,494.16x = 123,741.24 × 20,164.56
  4. Step 4: Simplify right side
    82,494.16x = 2,495,187,658.45
  5. Step 5: Solve for x
    x = 2,495,187,658.45/82,494.16
  6. Step 6: Final answer
    x = 30,246.84

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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.