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Finding the Fourth Proportional to 85,351.32, 117,796.68 and 47,628

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Solution

The fourth proportional to 85,351.32, 117,796.68 and 47,628 is: 65,733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,351.32 : 117,796.68 = 47,628 : x
  2. Step 2: Convert to fraction form
    85,351.32/117,796.68 = 47,628/x
  3. Step 3: Cross multiply
    85,351.32x = 117,796.68 × 47,628
  4. Step 4: Simplify right side
    85,351.32x = 5,610,420,275.04
  5. Step 5: Solve for x
    x = 5,610,420,275.04/85,351.32
  6. Step 6: Final answer
    x = 65,733.26

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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.