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Finding the Fourth Proportional to 81,409.59, 112,345.53 and 47,441.37

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Solution

The fourth proportional to 81,409.59, 112,345.53 and 47,441.37 is: 65,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.59 : 112,345.53 = 47,441.37 : x
  2. Step 2: Convert to fraction form
    81,409.59/112,345.53 = 47,441.37/x
  3. Step 3: Cross multiply
    81,409.59x = 112,345.53 × 47,441.37
  4. Step 4: Simplify right side
    81,409.59x = 5,329,825,856.58
  5. Step 5: Solve for x
    x = 5,329,825,856.58/81,409.59
  6. Step 6: Final answer
    x = 65,469.26

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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.