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Finding the Fourth Proportional to 54,034.60, 81,099.90 and 31,820.20

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Solution

The fourth proportional to 54,034.60, 81,099.90 and 31,820.20 is: 47,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,034.60 : 81,099.90 = 31,820.20 : x
  2. Step 2: Convert to fraction form
    54,034.60/81,099.90 = 31,820.20/x
  3. Step 3: Cross multiply
    54,034.60x = 81,099.90 × 31,820.20
  4. Step 4: Simplify right side
    54,034.60x = 2,580,615,037.98
  5. Step 5: Solve for x
    x = 2,580,615,037.98/54,034.60
  6. Step 6: Final answer
    x = 47,758.57

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Why These Related Problems?

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