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Finding the Fourth Proportional to 135,580.69, 187,099.09 and 74,326.47

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Solution

The fourth proportional to 135,580.69, 187,099.09 and 74,326.47 is: 102,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,580.69 : 187,099.09 = 74,326.47 : x
  2. Step 2: Convert to fraction form
    135,580.69/187,099.09 = 74,326.47/x
  3. Step 3: Cross multiply
    135,580.69x = 187,099.09 × 74,326.47
  4. Step 4: Simplify right side
    135,580.69x = 13,906,414,899.91
  5. Step 5: Solve for x
    x = 13,906,414,899.91/135,580.69
  6. Step 6: Final answer
    x = 102,569.29

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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.