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Finding the Fourth Proportional to 81,231.84, 112,152 and 51,058.56

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Solution

The fourth proportional to 81,231.84, 112,152 and 51,058.56 is: 70,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,231.84 : 112,152 = 51,058.56 : x
  2. Step 2: Convert to fraction form
    81,231.84/112,152 = 51,058.56/x
  3. Step 3: Cross multiply
    81,231.84x = 112,152 × 51,058.56
  4. Step 4: Simplify right side
    81,231.84x = 5,726,319,621.12
  5. Step 5: Solve for x
    x = 5,726,319,621.12/81,231.84
  6. Step 6: Final answer
    x = 70,493.54

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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.