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Finding the Fourth Proportional to 85,365.57, 117,804.36 and 47,639.82

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Solution

The fourth proportional to 85,365.57, 117,804.36 and 47,639.82 is: 65,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,365.57 : 117,804.36 = 47,639.82 : x
  2. Step 2: Convert to fraction form
    85,365.57/117,804.36 = 47,639.82/x
  3. Step 3: Cross multiply
    85,365.57x = 117,804.36 × 47,639.82
  4. Step 4: Simplify right side
    85,365.57x = 5,612,178,505.62
  5. Step 5: Solve for x
    x = 5,612,178,505.62/85,365.57
  6. Step 6: Final answer
    x = 65,742.88

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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.