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Finding the Fourth Proportional to 81,419.94, 112,360.68 and 47,427.54

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Solution

The fourth proportional to 81,419.94, 112,360.68 and 47,427.54 is: 65,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,419.94 : 112,360.68 = 47,427.54 : x
  2. Step 2: Convert to fraction form
    81,419.94/112,360.68 = 47,427.54/x
  3. Step 3: Cross multiply
    81,419.94x = 112,360.68 × 47,427.54
  4. Step 4: Simplify right side
    81,419.94x = 5,328,990,645.13
  5. Step 5: Solve for x
    x = 5,328,990,645.13/81,419.94
  6. Step 6: Final answer
    x = 65,450.68

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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.