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Finding the Fourth Proportional to 81,374.94, 112,252.23 and 57,212.82

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Solution

The fourth proportional to 81,374.94, 112,252.23 and 57,212.82 is: 78,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,374.94 : 112,252.23 = 57,212.82 : x
  2. Step 2: Convert to fraction form
    81,374.94/112,252.23 = 57,212.82/x
  3. Step 3: Cross multiply
    81,374.94x = 112,252.23 × 57,212.82
  4. Step 4: Simplify right side
    81,374.94x = 6,422,266,629.59
  5. Step 5: Solve for x
    x = 6,422,266,629.59/81,374.94
  6. Step 6: Final answer
    x = 78,921.92

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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.