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Finding the Fourth Proportional to 83,090.56, 124,652.27 and 30,500.50

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Solution

The fourth proportional to 83,090.56, 124,652.27 and 30,500.50 is: 45,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090.56 : 124,652.27 = 30,500.50 : x
  2. Step 2: Convert to fraction form
    83,090.56/124,652.27 = 30,500.50/x
  3. Step 3: Cross multiply
    83,090.56x = 124,652.27 × 30,500.50
  4. Step 4: Simplify right side
    83,090.56x = 3,801,956,561.14
  5. Step 5: Solve for x
    x = 3,801,956,561.14/83,090.56
  6. Step 6: Final answer
    x = 45,756.78

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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.