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Finding the Fourth Proportional to 81,676.96, 112,710.76 and 47,687.36

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Solution

The fourth proportional to 81,676.96, 112,710.76 and 47,687.36 is: 65,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,676.96 : 112,710.76 = 47,687.36 : x
  2. Step 2: Convert to fraction form
    81,676.96/112,710.76 = 47,687.36/x
  3. Step 3: Cross multiply
    81,676.96x = 112,710.76 × 47,687.36
  4. Step 4: Simplify right side
    81,676.96x = 5,374,878,587.99
  5. Step 5: Solve for x
    x = 5,374,878,587.99/81,676.96
  6. Step 6: Final answer
    x = 65,806.55

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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.