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Finding the Fourth Proportional to 84,325.74, 126,475.86 and 31,722.96

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Solution

The fourth proportional to 84,325.74, 126,475.86 and 31,722.96 is: 47,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,325.74 : 126,475.86 = 31,722.96 : x
  2. Step 2: Convert to fraction form
    84,325.74/126,475.86 = 31,722.96/x
  3. Step 3: Cross multiply
    84,325.74x = 126,475.86 × 31,722.96
  4. Step 4: Simplify right side
    84,325.74x = 4,012,188,647.75
  5. Step 5: Solve for x
    x = 4,012,188,647.75/84,325.74
  6. Step 6: Final answer
    x = 47,579.64

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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.