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Finding the Fourth Proportional to 84,475.83, 126,741.87 and 28,321.50

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Solution

The fourth proportional to 84,475.83, 126,741.87 and 28,321.50 is: 42,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,475.83 : 126,741.87 = 28,321.50 : x
  2. Step 2: Convert to fraction form
    84,475.83/126,741.87 = 28,321.50/x
  3. Step 3: Cross multiply
    84,475.83x = 126,741.87 × 28,321.50
  4. Step 4: Simplify right side
    84,475.83x = 3,589,519,871.21
  5. Step 5: Solve for x
    x = 3,589,519,871.21/84,475.83
  6. Step 6: Final answer
    x = 42,491.68

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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.