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Finding the Fourth Proportional to 135,382.74, 186,877.24 and 78,794.12

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Solution

The fourth proportional to 135,382.74, 186,877.24 and 78,794.12 is: 108,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,382.74 : 186,877.24 = 78,794.12 : x
  2. Step 2: Convert to fraction form
    135,382.74/186,877.24 = 78,794.12/x
  3. Step 3: Cross multiply
    135,382.74x = 186,877.24 × 78,794.12
  4. Step 4: Simplify right side
    135,382.74x = 14,724,827,673.83
  5. Step 5: Solve for x
    x = 14,724,827,673.83/135,382.74
  6. Step 6: Final answer
    x = 108,764.44

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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.