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Finding the Fourth Proportional to 135,302, 186,713.96 and 74,872.60

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Solution

The fourth proportional to 135,302, 186,713.96 and 74,872.60 is: 103,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,302 : 186,713.96 = 74,872.60 : x
  2. Step 2: Convert to fraction form
    135,302/186,713.96 = 74,872.60/x
  3. Step 3: Cross multiply
    135,302x = 186,713.96 × 74,872.60
  4. Step 4: Simplify right side
    135,302x = 13,979,759,641.50
  5. Step 5: Solve for x
    x = 13,979,759,641.50/135,302
  6. Step 6: Final answer
    x = 103,322.64

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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.