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Finding the Fourth Proportional to 135,078.93, 186,399.60 and 74,649

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Solution

The fourth proportional to 135,078.93, 186,399.60 and 74,649 is: 103,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,078.93 : 186,399.60 = 74,649 : x
  2. Step 2: Convert to fraction form
    135,078.93/186,399.60 = 74,649/x
  3. Step 3: Cross multiply
    135,078.93x = 186,399.60 × 74,649
  4. Step 4: Simplify right side
    135,078.93x = 13,914,543,740.40
  5. Step 5: Solve for x
    x = 13,914,543,740.40/135,078.93
  6. Step 6: Final answer
    x = 103,010.47

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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.