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Finding the Fourth Proportional to 81,672.98, 112,705.22 and 47,683.35

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Solution

The fourth proportional to 81,672.98, 112,705.22 and 47,683.35 is: 65,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,672.98 : 112,705.22 = 47,683.35 : x
  2. Step 2: Convert to fraction form
    81,672.98/112,705.22 = 47,683.35/x
  3. Step 3: Cross multiply
    81,672.98x = 112,705.22 × 47,683.35
  4. Step 4: Simplify right side
    81,672.98x = 5,374,162,571.30
  5. Step 5: Solve for x
    x = 5,374,162,571.30/81,672.98
  6. Step 6: Final answer
    x = 65,800.99

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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.