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Finding the Fourth Proportional to 135,379, 186,836.82 and 78,020.38

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Solution

The fourth proportional to 135,379, 186,836.82 and 78,020.38 is: 107,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,379 : 186,836.82 = 78,020.38 : x
  2. Step 2: Convert to fraction form
    135,379/186,836.82 = 78,020.38/x
  3. Step 3: Cross multiply
    135,379x = 186,836.82 × 78,020.38
  4. Step 4: Simplify right side
    135,379x = 14,577,079,694.39
  5. Step 5: Solve for x
    x = 14,577,079,694.39/135,379
  6. Step 6: Final answer
    x = 107,676.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.