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Finding the Fourth Proportional to 81,823.76, 112,930.64 and 47,363.50

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Solution

The fourth proportional to 81,823.76, 112,930.64 and 47,363.50 is: 65,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,823.76 : 112,930.64 = 47,363.50 : x
  2. Step 2: Convert to fraction form
    81,823.76/112,930.64 = 47,363.50/x
  3. Step 3: Cross multiply
    81,823.76x = 112,930.64 × 47,363.50
  4. Step 4: Simplify right side
    81,823.76x = 5,348,790,367.64
  5. Step 5: Solve for x
    x = 5,348,790,367.64/81,823.76
  6. Step 6: Final answer
    x = 65,369.65

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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.