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Finding the Fourth Proportional to 85,253.92, 117,647.71 and 47,015.08

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Solution

The fourth proportional to 85,253.92, 117,647.71 and 47,015.08 is: 64,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,253.92 : 117,647.71 = 47,015.08 : x
  2. Step 2: Convert to fraction form
    85,253.92/117,647.71 = 47,015.08/x
  3. Step 3: Cross multiply
    85,253.92x = 117,647.71 × 47,015.08
  4. Step 4: Simplify right side
    85,253.92x = 5,531,216,747.58
  5. Step 5: Solve for x
    x = 5,531,216,747.58/85,253.92
  6. Step 6: Final answer
    x = 64,879.32

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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.