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Finding the Fourth Proportional to 117,765.81, 162,453.73 and 81,893.54

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Solution

The fourth proportional to 117,765.81, 162,453.73 and 81,893.54 is: 112,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,765.81 : 162,453.73 = 81,893.54 : x
  2. Step 2: Convert to fraction form
    117,765.81/162,453.73 = 81,893.54/x
  3. Step 3: Cross multiply
    117,765.81x = 162,453.73 × 81,893.54
  4. Step 4: Simplify right side
    117,765.81x = 13,303,911,035.90
  5. Step 5: Solve for x
    x = 13,303,911,035.90/117,765.81
  6. Step 6: Final answer
    x = 112,969.21

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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.