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Finding the Fourth Proportional to 117,766.82, 162,455.10 and 81,894.54

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Solution

The fourth proportional to 117,766.82, 162,455.10 and 81,894.54 is: 112,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,766.82 : 162,455.10 = 81,894.54 : x
  2. Step 2: Convert to fraction form
    117,766.82/162,455.10 = 81,894.54/x
  3. Step 3: Cross multiply
    117,766.82x = 162,455.10 × 81,894.54
  4. Step 4: Simplify right side
    117,766.82x = 13,304,185,685.15
  5. Step 5: Solve for x
    x = 13,304,185,685.15/117,766.82
  6. Step 6: Final answer
    x = 112,970.58

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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.