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Finding the Fourth Proportional to 83,447.91, 115,095.35 and 57,954.33

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Solution

The fourth proportional to 83,447.91, 115,095.35 and 57,954.33 is: 79,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447.91 : 115,095.35 = 57,954.33 : x
  2. Step 2: Convert to fraction form
    83,447.91/115,095.35 = 57,954.33/x
  3. Step 3: Cross multiply
    83,447.91x = 115,095.35 × 57,954.33
  4. Step 4: Simplify right side
    83,447.91x = 6,670,274,040.25
  5. Step 5: Solve for x
    x = 6,670,274,040.25/83,447.91
  6. Step 6: Final answer
    x = 79,933.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.