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Finding the Fourth Proportional to 81,634.90, 112,663.86 and 47,640.64

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Solution

The fourth proportional to 81,634.90, 112,663.86 and 47,640.64 is: 65,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,634.90 : 112,663.86 = 47,640.64 : x
  2. Step 2: Convert to fraction form
    81,634.90/112,663.86 = 47,640.64/x
  3. Step 3: Cross multiply
    81,634.90x = 112,663.86 × 47,640.64
  4. Step 4: Simplify right side
    81,634.90x = 5,367,378,395.27
  5. Step 5: Solve for x
    x = 5,367,378,395.27/81,634.90
  6. Step 6: Final answer
    x = 65,748.58

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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.