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Finding the Fourth Proportional to 135,167.27, 186,523.30 and 74,734.28

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Solution

The fourth proportional to 135,167.27, 186,523.30 and 74,734.28 is: 103,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,167.27 : 186,523.30 = 74,734.28 : x
  2. Step 2: Convert to fraction form
    135,167.27/186,523.30 = 74,734.28/x
  3. Step 3: Cross multiply
    135,167.27x = 186,523.30 × 74,734.28
  4. Step 4: Simplify right side
    135,167.27x = 13,939,684,388.99
  5. Step 5: Solve for x
    x = 13,939,684,388.99/135,167.27
  6. Step 6: Final answer
    x = 103,129.14

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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.