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Finding the Fourth Proportional to 135,057.78, 186,381.71 and 74,629.82

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Solution

The fourth proportional to 135,057.78, 186,381.71 and 74,629.82 is: 102,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,057.78 : 186,381.71 = 74,629.82 : x
  2. Step 2: Convert to fraction form
    135,057.78/186,381.71 = 74,629.82/x
  3. Step 3: Cross multiply
    135,057.78x = 186,381.71 × 74,629.82
  4. Step 4: Simplify right side
    135,057.78x = 13,909,633,468.59
  5. Step 5: Solve for x
    x = 13,909,633,468.59/135,057.78
  6. Step 6: Final answer
    x = 102,990.24

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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.