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Finding the Fourth Proportional to 135,998.69, 187,682.42 and 74,743.77

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Solution

The fourth proportional to 135,998.69, 187,682.42 and 74,743.77 is: 103,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,998.69 : 187,682.42 = 74,743.77 : x
  2. Step 2: Convert to fraction form
    135,998.69/187,682.42 = 74,743.77/x
  3. Step 3: Cross multiply
    135,998.69x = 187,682.42 × 74,743.77
  4. Step 4: Simplify right side
    135,998.69x = 14,028,090,836.28
  5. Step 5: Solve for x
    x = 14,028,090,836.28/135,998.69
  6. Step 6: Final answer
    x = 103,148.72

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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.