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Finding the Fourth Proportional to 81,740.73, 112,762.19 and 49,854.27

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Solution

The fourth proportional to 81,740.73, 112,762.19 and 49,854.27 is: 68,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,740.73 : 112,762.19 = 49,854.27 : x
  2. Step 2: Convert to fraction form
    81,740.73/112,762.19 = 49,854.27/x
  3. Step 3: Cross multiply
    81,740.73x = 112,762.19 × 49,854.27
  4. Step 4: Simplify right side
    81,740.73x = 5,621,676,666.05
  5. Step 5: Solve for x
    x = 5,621,676,666.05/81,740.73
  6. Step 6: Final answer
    x = 68,774.49

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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.