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Finding the Fourth Proportional to 81,762.48, 112,836.24 and 49,926.24

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Solution

The fourth proportional to 81,762.48, 112,836.24 and 49,926.24 is: 68,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762.48 : 112,836.24 = 49,926.24 : x
  2. Step 2: Convert to fraction form
    81,762.48/112,836.24 = 49,926.24/x
  3. Step 3: Cross multiply
    81,762.48x = 112,836.24 × 49,926.24
  4. Step 4: Simplify right side
    81,762.48x = 5,633,489,198.94
  5. Step 5: Solve for x
    x = 5,633,489,198.94/81,762.48
  6. Step 6: Final answer
    x = 68,900.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.