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Finding the Fourth Proportional to 81,061.82, 111,856.81 and 47,063.66

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Solution

The fourth proportional to 81,061.82, 111,856.81 and 47,063.66 is: 64,942.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,061.82 : 111,856.81 = 47,063.66 : x
  2. Step 2: Convert to fraction form
    81,061.82/111,856.81 = 47,063.66/x
  3. Step 3: Cross multiply
    81,061.82x = 111,856.81 × 47,063.66
  4. Step 4: Simplify right side
    81,061.82x = 5,264,391,062.60
  5. Step 5: Solve for x
    x = 5,264,391,062.60/81,061.82
  6. Step 6: Final answer
    x = 64,942.92

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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.