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Finding the Fourth Proportional to 135,712.74, 203,361.52 and 72,541.86

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Solution

The fourth proportional to 135,712.74, 203,361.52 and 72,541.86 is: 108,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,712.74 : 203,361.52 = 72,541.86 : x
  2. Step 2: Convert to fraction form
    135,712.74/203,361.52 = 72,541.86/x
  3. Step 3: Cross multiply
    135,712.74x = 203,361.52 × 72,541.86
  4. Step 4: Simplify right side
    135,712.74x = 14,752,222,913.23
  5. Step 5: Solve for x
    x = 14,752,222,913.23/135,712.74
  6. Step 6: Final answer
    x = 108,701.83

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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.