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Finding the Fourth Proportional to 81,474.29, 112,409.77 and 51,289.74

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Solution

The fourth proportional to 81,474.29, 112,409.77 and 51,289.74 is: 70,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,474.29 : 112,409.77 = 51,289.74 : x
  2. Step 2: Convert to fraction form
    81,474.29/112,409.77 = 51,289.74/x
  3. Step 3: Cross multiply
    81,474.29x = 112,409.77 × 51,289.74
  4. Step 4: Simplify right side
    81,474.29x = 5,765,468,282.87
  5. Step 5: Solve for x
    x = 5,765,468,282.87/81,474.29
  6. Step 6: Final answer
    x = 70,764.26

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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.