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Finding the Fourth Proportional to 82,260.50, 123,390.76 and 26,856.50

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Solution

The fourth proportional to 82,260.50, 123,390.76 and 26,856.50 is: 40,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,260.50 : 123,390.76 = 26,856.50 : x
  2. Step 2: Convert to fraction form
    82,260.50/123,390.76 = 26,856.50/x
  3. Step 3: Cross multiply
    82,260.50x = 123,390.76 × 26,856.50
  4. Step 4: Simplify right side
    82,260.50x = 3,313,843,945.94
  5. Step 5: Solve for x
    x = 3,313,843,945.94/82,260.50
  6. Step 6: Final answer
    x = 40,284.75

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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.