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Finding the Fourth Proportional to 81,778.35, 112,866.08 and 45,971.31

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Solution

The fourth proportional to 81,778.35, 112,866.08 and 45,971.31 is: 63,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,778.35 : 112,866.08 = 45,971.31 : x
  2. Step 2: Convert to fraction form
    81,778.35/112,866.08 = 45,971.31/x
  3. Step 3: Cross multiply
    81,778.35x = 112,866.08 × 45,971.31
  4. Step 4: Simplify right side
    81,778.35x = 5,188,601,322.31
  5. Step 5: Solve for x
    x = 5,188,601,322.31/81,778.35
  6. Step 6: Final answer
    x = 63,447.13

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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.