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Finding the Fourth Proportional to 82,109.54, 122,856.74 and 58,471.70

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Solution

The fourth proportional to 82,109.54, 122,856.74 and 58,471.70 is: 87,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,109.54 : 122,856.74 = 58,471.70 : x
  2. Step 2: Convert to fraction form
    82,109.54/122,856.74 = 58,471.70/x
  3. Step 3: Cross multiply
    82,109.54x = 122,856.74 × 58,471.70
  4. Step 4: Simplify right side
    82,109.54x = 7,183,642,444.26
  5. Step 5: Solve for x
    x = 7,183,642,444.26/82,109.54
  6. Step 6: Final answer
    x = 87,488.52

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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.