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Finding the Fourth Proportional to 81,141.44, 111,954.72 and 47,600.96

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Solution

The fourth proportional to 81,141.44, 111,954.72 and 47,600.96 is: 65,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,141.44 : 111,954.72 = 47,600.96 : x
  2. Step 2: Convert to fraction form
    81,141.44/111,954.72 = 47,600.96/x
  3. Step 3: Cross multiply
    81,141.44x = 111,954.72 × 47,600.96
  4. Step 4: Simplify right side
    81,141.44x = 5,329,152,148.53
  5. Step 5: Solve for x
    x = 5,329,152,148.53/81,141.44
  6. Step 6: Final answer
    x = 65,677.32

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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.