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Finding the Fourth Proportional to 135,937.74, 203,906.79 and 51,678.12

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Solution

The fourth proportional to 135,937.74, 203,906.79 and 51,678.12 is: 77,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,937.74 : 203,906.79 = 51,678.12 : x
  2. Step 2: Convert to fraction form
    135,937.74/203,906.79 = 51,678.12/x
  3. Step 3: Cross multiply
    135,937.74x = 203,906.79 × 51,678.12
  4. Step 4: Simplify right side
    135,937.74x = 10,537,519,562.43
  5. Step 5: Solve for x
    x = 10,537,519,562.43/135,937.74
  6. Step 6: Final answer
    x = 77,517.25

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1.5x scale

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.