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Finding the Fourth Proportional to 135,188.82, 186,544.17 and 74,751.21

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Solution

The fourth proportional to 135,188.82, 186,544.17 and 74,751.21 is: 103,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,188.82 : 186,544.17 = 74,751.21 : x
  2. Step 2: Convert to fraction form
    135,188.82/186,544.17 = 74,751.21/x
  3. Step 3: Cross multiply
    135,188.82x = 186,544.17 × 74,751.21
  4. Step 4: Simplify right side
    135,188.82x = 13,944,402,425.95
  5. Step 5: Solve for x
    x = 13,944,402,425.95/135,188.82
  6. Step 6: Final answer
    x = 103,147.60

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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.