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Finding the Fourth Proportional to 75,810.60, 113,780.70 and 33,755.40

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Solution

The fourth proportional to 75,810.60, 113,780.70 and 33,755.40 is: 50,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,810.60 : 113,780.70 = 33,755.40 : x
  2. Step 2: Convert to fraction form
    75,810.60/113,780.70 = 33,755.40/x
  3. Step 3: Cross multiply
    75,810.60x = 113,780.70 × 33,755.40
  4. Step 4: Simplify right side
    75,810.60x = 3,840,713,040.78
  5. Step 5: Solve for x
    x = 3,840,713,040.78/75,810.60
  6. Step 6: Final answer
    x = 50,661.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.