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Finding the Fourth Proportional to 81,493.88, 112,462.58 and 49,665.74

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Solution

The fourth proportional to 81,493.88, 112,462.58 and 49,665.74 is: 68,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,493.88 : 112,462.58 = 49,665.74 : x
  2. Step 2: Convert to fraction form
    81,493.88/112,462.58 = 49,665.74/x
  3. Step 3: Cross multiply
    81,493.88x = 112,462.58 × 49,665.74
  4. Step 4: Simplify right side
    81,493.88x = 5,585,537,009.68
  5. Step 5: Solve for x
    x = 5,585,537,009.68/81,493.88
  6. Step 6: Final answer
    x = 68,539.34

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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.