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Finding the Fourth Proportional to 81,894.56, 113,029.96 and 51,281.86

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Solution

The fourth proportional to 81,894.56, 113,029.96 and 51,281.86 is: 70,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,894.56 : 113,029.96 = 51,281.86 : x
  2. Step 2: Convert to fraction form
    81,894.56/113,029.96 = 51,281.86/x
  3. Step 3: Cross multiply
    81,894.56x = 113,029.96 × 51,281.86
  4. Step 4: Simplify right side
    81,894.56x = 5,796,386,584.53
  5. Step 5: Solve for x
    x = 5,796,386,584.53/81,894.56
  6. Step 6: Final answer
    x = 70,778.65

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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.