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Finding the Fourth Proportional to 81,700.50, 122,550.75 and 26,296.50

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Solution

The fourth proportional to 81,700.50, 122,550.75 and 26,296.50 is: 39,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,700.50 : 122,550.75 = 26,296.50 : x
  2. Step 2: Convert to fraction form
    81,700.50/122,550.75 = 26,296.50/x
  3. Step 3: Cross multiply
    81,700.50x = 122,550.75 × 26,296.50
  4. Step 4: Simplify right side
    81,700.50x = 3,222,655,797.38
  5. Step 5: Solve for x
    x = 3,222,655,797.38/81,700.50
  6. Step 6: Final answer
    x = 39,444.75

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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.