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Finding the Fourth Proportional to 35,780.56, 49,378.83 and 20,675.22

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Solution

The fourth proportional to 35,780.56, 49,378.83 and 20,675.22 is: 28,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.56 : 49,378.83 = 20,675.22 : x
  2. Step 2: Convert to fraction form
    35,780.56/49,378.83 = 20,675.22/x
  3. Step 3: Cross multiply
    35,780.56x = 49,378.83 × 20,675.22
  4. Step 4: Simplify right side
    35,780.56x = 1,020,918,173.59
  5. Step 5: Solve for x
    x = 1,020,918,173.59/35,780.56
  6. Step 6: Final answer
    x = 28,532.76

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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.