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Finding the Fourth Proportional to 83,738.97, 115,471.08 and 53,525.61

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Solution

The fourth proportional to 83,738.97, 115,471.08 and 53,525.61 is: 73,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,738.97 : 115,471.08 = 53,525.61 : x
  2. Step 2: Convert to fraction form
    83,738.97/115,471.08 = 53,525.61/x
  3. Step 3: Cross multiply
    83,738.97x = 115,471.08 × 53,525.61
  4. Step 4: Simplify right side
    83,738.97x = 6,180,659,994.36
  5. Step 5: Solve for x
    x = 6,180,659,994.36/83,738.97
  6. Step 6: Final answer
    x = 73,808.65

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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.