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Finding the Fourth Proportional to 135,367.83, 186,805.26 and 74,937.15

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Solution

The fourth proportional to 135,367.83, 186,805.26 and 74,937.15 is: 103,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,367.83 : 186,805.26 = 74,937.15 : x
  2. Step 2: Convert to fraction form
    135,367.83/186,805.26 = 74,937.15/x
  3. Step 3: Cross multiply
    135,367.83x = 186,805.26 × 74,937.15
  4. Step 4: Simplify right side
    135,367.83x = 13,998,653,789.41
  5. Step 5: Solve for x
    x = 13,998,653,789.41/135,367.83
  6. Step 6: Final answer
    x = 103,411.97

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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.