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Finding the Fourth Proportional to 81,702.63, 112,729.79 and 47,691.81

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Solution

The fourth proportional to 81,702.63, 112,729.79 and 47,691.81 is: 65,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.63 : 112,729.79 = 47,691.81 : x
  2. Step 2: Convert to fraction form
    81,702.63/112,729.79 = 47,691.81/x
  3. Step 3: Cross multiply
    81,702.63x = 112,729.79 × 47,691.81
  4. Step 4: Simplify right side
    81,702.63x = 5,376,287,845.25
  5. Step 5: Solve for x
    x = 5,376,287,845.25/81,702.63
  6. Step 6: Final answer
    x = 65,803.12

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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.