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Finding the Fourth Proportional to 85,382.25, 117,828.72 and 47,656.50

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Solution

The fourth proportional to 85,382.25, 117,828.72 and 47,656.50 is: 65,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,382.25 : 117,828.72 = 47,656.50 : x
  2. Step 2: Convert to fraction form
    85,382.25/117,828.72 = 47,656.50/x
  3. Step 3: Cross multiply
    85,382.25x = 117,828.72 × 47,656.50
  4. Step 4: Simplify right side
    85,382.25x = 5,615,304,394.68
  5. Step 5: Solve for x
    x = 5,615,304,394.68/85,382.25
  6. Step 6: Final answer
    x = 65,766.65

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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.