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Finding the Fourth Proportional to 135,115.71, 186,456.40 and 74,684.80

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Solution

The fourth proportional to 135,115.71, 186,456.40 and 74,684.80 is: 103,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,115.71 : 186,456.40 = 74,684.80 : x
  2. Step 2: Convert to fraction form
    135,115.71/186,456.40 = 74,684.80/x
  3. Step 3: Cross multiply
    135,115.71x = 186,456.40 × 74,684.80
  4. Step 4: Simplify right side
    135,115.71x = 13,925,458,756.01
  5. Step 5: Solve for x
    x = 13,925,458,756.01/135,115.71
  6. Step 6: Final answer
    x = 103,063.21

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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.