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Finding the Fourth Proportional to 81,686.37, 112,750.47 and 47,702.82

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Solution

The fourth proportional to 81,686.37, 112,750.47 and 47,702.82 is: 65,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,686.37 : 112,750.47 = 47,702.82 : x
  2. Step 2: Convert to fraction form
    81,686.37/112,750.47 = 47,702.82/x
  3. Step 3: Cross multiply
    81,686.37x = 112,750.47 × 47,702.82
  4. Step 4: Simplify right side
    81,686.37x = 5,378,515,375.33
  5. Step 5: Solve for x
    x = 5,378,515,375.33/81,686.37
  6. Step 6: Final answer
    x = 65,843.49

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1.5x scale

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.